Answered: Part 1: Use trigonometric identities to s... |24HA

Messages Timeline Exceptions Events452 Views14 Route Queries20 Models39 Livewire0 Mails Gate Session Request

8.1.0650ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (439ms)time
Application (211ms)time
1 x Booting (67.53%)
439ms
1 x Application (32.47%)
211ms

Illuminate\Routing\Events\Routing (2.38ms)
Illuminate\Routing\Events\RouteMatched (1.62ms)
Illuminate\Foundation\Events\LocaleUpdated (6.4ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (253μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (246μs)
Illuminate\Database\Events\ConnectionEstablished (3.19ms)
Illuminate\Database\Events\StatementPrepared (13.69ms)
Illuminate\Database\Events\QueryExecuted (1.27ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (124μs)
eloquent.booting: App\Models\Subject (126μs)
eloquent.booted: App\Models\Subject (56μs)
Illuminate\Database\Events\StatementPrepared (1.91ms)
Illuminate\Database\Events\QueryExecuted (841μs)
eloquent.retrieved: App\Models\Subject (146μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (285μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (45μs)
Illuminate\Database\Events\StatementPrepared (1.21ms)
Illuminate\Database\Events\QueryExecuted (1.42ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (188μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (153μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (22μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.booting: App\Models\SubjectCat (461μs)
eloquent.booted: App\Models\SubjectCat (57μs)
Illuminate\Database\Events\StatementPrepared (715μs)
Illuminate\Database\Events\QueryExecuted (926μs)
eloquent.retrieved: App\Models\SubjectCat (177μs)
Illuminate\Cache\Events\CacheHit (17.66ms)
Illuminate\Cache\Events\CacheMissed (373μs)
Illuminate\Database\Events\StatementPrepared (1.3ms)
Illuminate\Database\Events\QueryExecuted (4.1ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (188μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (18μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (631μs)
Illuminate\Database\Events\QueryExecuted (852μs)
eloquent.retrieved: App\Models\Subject (81μs)
Illuminate\Cache\Events\KeyWritten (783μs)
Illuminate\Database\Events\StatementPrepared (2.03ms)
Illuminate\Database\Events\QueryExecuted (1.26ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (53μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (18μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
Illuminate\Database\Events\StatementPrepared (1.28ms)
Illuminate\Database\Events\QueryExecuted (972μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (61μs)
Illuminate\Database\Events\StatementPrepared (711μs)
Illuminate\Database\Events\QueryExecuted (1.03ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (48μs)
Illuminate\Cache\Events\CacheHit (659μs)
creating: homework.show (423μs)
composing: homework.show (166μs)
creating: components.breadcrumbs (339μs)
composing: components.breadcrumbs (202μs)
Illuminate\Database\Events\StatementPrepared (1.14ms)
Illuminate\Database\Events\QueryExecuted (927μs)
eloquent.retrieved: App\Models\SubjectCat (86μs)
Illuminate\Cache\Events\CacheMissed (6.7ms)
Illuminate\Database\Events\StatementPrepared (636μs)
Illuminate\Database\Events\QueryExecuted (863μs)
eloquent.retrieved: App\Models\SubjectCat (73μs)
Illuminate\Cache\Events\KeyWritten (919μs)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (369μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (310μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (296μs)
Illuminate\Cache\Events\CacheHit (538μs)
Illuminate\Cache\Events\CacheHit (1.63ms)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheMissed (192μs)
Illuminate\Database\Events\StatementPrepared (821μs)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\SubjectCat (106μs)
Illuminate\Cache\Events\KeyWritten (382μs)
Illuminate\Cache\Events\CacheHit (403μs)
Illuminate\Cache\Events\CacheHit (265μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (494μs)
Illuminate\Cache\Events\CacheMissed (310μs)
Illuminate\Database\Events\StatementPrepared (615μs)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\SubjectCat (96μs)
Illuminate\Cache\Events\KeyWritten (665μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (325μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (379μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (288μs)
Illuminate\Cache\Events\CacheHit (278μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (303μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (305μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (299μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (288μs)
Illuminate\Cache\Events\CacheHit (260μs)
Illuminate\Cache\Events\CacheHit (291μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (636μs)
Illuminate\Cache\Events\CacheHit (490μs)
Illuminate\Cache\Events\CacheMissed (531μs)
Illuminate\Database\Events\StatementPrepared (832μs)
Illuminate\Database\Events\QueryExecuted (1.34ms)
eloquent.retrieved: App\Models\SubjectCat (62μs)
Illuminate\Cache\Events\KeyWritten (380μs)
Illuminate\Cache\Events\CacheHit (710μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (300μs)
Illuminate\Cache\Events\CacheHit (361μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (285μs)
Illuminate\Cache\Events\CacheHit (270μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (332μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (291μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (447μs)
Illuminate\Cache\Events\CacheHit (332μs)
Illuminate\Cache\Events\CacheHit (1.16ms)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (506μs)
Illuminate\Cache\Events\CacheHit (331μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (266μs)
Illuminate\Cache\Events\CacheHit (392μs)
Illuminate\Cache\Events\CacheHit (369μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheMissed (301μs)
Illuminate\Database\Events\StatementPrepared (742μs)
Illuminate\Database\Events\QueryExecuted (979μs)
eloquent.retrieved: App\Models\SubjectCat (61μs)
Illuminate\Cache\Events\KeyWritten (873μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (261μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheMissed (242μs)
Illuminate\Database\Events\StatementPrepared (651μs)
Illuminate\Database\Events\QueryExecuted (855μs)
eloquent.retrieved: App\Models\SubjectCat (91μs)
Illuminate\Cache\Events\KeyWritten (429μs)
Illuminate\Cache\Events\CacheHit (708μs)
Illuminate\Cache\Events\CacheHit (653μs)
Illuminate\Cache\Events\CacheHit (428μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (420μs)
Illuminate\Cache\Events\CacheHit (380μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (914μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (250μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (547μs)
Illuminate\Cache\Events\CacheHit (279μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheMissed (292μs)
Illuminate\Database\Events\StatementPrepared (812μs)
Illuminate\Database\Events\QueryExecuted (1.08ms)
eloquent.retrieved: App\Models\SubjectCat (62μs)
Illuminate\Cache\Events\KeyWritten (406μs)
Illuminate\Cache\Events\CacheHit (585μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (290μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (255μs)
Illuminate\Cache\Events\CacheHit (585μs)
Illuminate\Cache\Events\CacheHit (569μs)
Illuminate\Cache\Events\CacheHit (380μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (303μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (253μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (443μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (312μs)
Illuminate\Cache\Events\CacheHit (404μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (247μs)
Illuminate\Cache\Events\CacheMissed (293μs)
Illuminate\Database\Events\StatementPrepared (898μs)
Illuminate\Database\Events\QueryExecuted (1.15ms)
eloquent.retrieved: App\Models\SubjectCat (64μs)
Illuminate\Cache\Events\KeyWritten (1.11ms)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (383μs)
Illuminate\Cache\Events\CacheHit (279μs)
Illuminate\Cache\Events\CacheHit (534μs)
Illuminate\Cache\Events\CacheHit (299μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (384μs)
Illuminate\Cache\Events\CacheHit (536μs)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (402μs)
Illuminate\Cache\Events\CacheHit (1.31ms)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (346μs)
Illuminate\Cache\Events\CacheHit (555μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (254μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (426μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (264μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (389μs)
Illuminate\Cache\Events\CacheHit (381μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (487μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (286μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (312μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (326μs)
Illuminate\Cache\Events\CacheHit (516μs)
Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (267μs)
Illuminate\Cache\Events\CacheHit (296μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (315μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (403μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (260μs)
Illuminate\Cache\Events\CacheHit (315μs)
Illuminate\Cache\Events\CacheHit (1.47ms)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (292μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheMissed (290μs)
Illuminate\Database\Events\StatementPrepared (2.8ms)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\SubjectCat (63μs)
Illuminate\Cache\Events\KeyWritten (864μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (270μs)
Illuminate\Cache\Events\CacheHit (267μs)
Illuminate\Cache\Events\CacheHit (179μs)
creating: site.layouts.app (524μs)
composing: site.layouts.app (24μs)
creating: components.canonical (632μs)
composing: components.canonical (83μs)
creating: components.open-graph (199μs)
composing: components.open-graph (78μs)
creating: site.headers.header (316μs)
composing: site.headers.header (82μs)
Illuminate\Cache\Events\CacheHit (4.12ms)
creating: components.footer (166μs)
composing: components.footer (182μs)
Illuminate\Cache\Events\CacheHit (1.82ms)
Illuminate\Cache\Events\CacheMissed (364μs)
Illuminate\Database\Events\StatementPrepared (783μs)
Illuminate\Database\Events\QueryExecuted (1.21ms)
eloquent.retrieved: App\Models\SubjectCat (92μs)
Illuminate\Cache\Events\KeyWritten (380μs)
Illuminate\Cache\Events\CacheHit (315μs)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (346μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (447μs)
Illuminate\Cache\Events\CacheHit (568μs)
Illuminate\Cache\Events\CacheHit (450μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (262μs)
creating: components.forms.contact-us (385μs)
composing: components.forms.contact-us (194μs)
creating: components.forms.get-started (192μs)
composing: components.forms.get-started (219μs)
creating: components.forms.free-tool-download (211μs)
composing: components.forms.free-tool-download (74μs)
creating: components.forms.claim-free-worksheet (120μs)
composing: components.forms.claim-free-worksheet (66μs)
creating: components.forms.tutor-subscription-waitlist (121μs)
composing: components.forms.tutor-subscription-waitlist (63μs)
creating: components.forms.tutor-subscription-join (210μs)
composing: components.forms.tutor-subscription-join (69μs)
creating: components.forms.tutor-support (245μs)
composing: components.forms.tutor-support (77μs)

311 x Illuminate\Cache\Events\CacheHit (16.21%)	105ms
20 x Illuminate\Database\Events\StatementPrepared (5.26%)	34.23ms
20 x Illuminate\Database\Events\QueryExecuted (3.74%)	24.34ms
11 x Illuminate\Cache\Events\CacheMissed (1.52%)	9.89ms
11 x Illuminate\Cache\Events\KeyWritten (1.1%)	7.19ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.98%)	6.40ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.49%)	3.19ms
1 x Illuminate\Routing\Events\Routing (0.37%)	2.38ms
1 x Illuminate\Routing\Events\RouteMatched (0.25%)	1.62ms
12 x eloquent.retrieved: App\Models\SubjectCat (0.16%)	1.03ms
18 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.1%)	666μs
1 x creating: components.canonical (0.1%)	632μs
1 x creating: site.layouts.app (0.08%)	524μs
1 x eloquent.booting: App\Models\SubjectCat (0.07%)	461μs
1 x creating: homework.show (0.07%)	423μs
1 x creating: components.forms.contact-us (0.06%)	385μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	357μs
1 x creating: components.breadcrumbs (0.05%)	339μs
1 x creating: site.headers.header (0.05%)	316μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)	285μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	253μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	246μs
1 x creating: components.forms.tutor-support (0.04%)	245μs
2 x eloquent.retrieved: App\Models\Subject (0.03%)	227μs
1 x composing: components.forms.get-started (0.03%)	219μs
1 x creating: components.forms.free-tool-download (0.03%)	211μs
1 x creating: components.forms.tutor-subscription-join (0.03%)	210μs
1 x composing: components.breadcrumbs (0.03%)	202μs
1 x creating: components.open-graph (0.03%)	199μs
1 x composing: components.forms.contact-us (0.03%)	194μs
1 x creating: components.forms.get-started (0.03%)	192μs
1 x composing: components.footer (0.03%)	182μs
1 x creating: components.footer (0.03%)	166μs
1 x composing: homework.show (0.03%)	166μs
1 x eloquent.booting: App\Models\Subject (0.02%)	126μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	121μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	120μs
1 x composing: components.canonical (0.01%)	83μs
1 x composing: site.headers.header (0.01%)	82μs
1 x composing: components.open-graph (0.01%)	78μs
1 x composing: components.forms.tutor-support (0.01%)	77μs
1 x composing: components.forms.free-tool-download (0.01%)	74μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	69μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	66μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	63μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	57μs
1 x eloquent.booted: App\Models\Subject (0.01%)	56μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	45μs
1 x composing: site.layouts.app (0%)	24μs

14 templates were rendered

1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.layouts.appapp.blade.phpblade
1x components.canonicalcanonical.blade.phpblade
1x components.open-graphopen-graph.blade.phpblade
1x site.headers.headerheader.blade.phpblade
1x components.footerfooter.blade.phpblade
1x components.forms.contact-uscontact-us.blade.phpblade
1x components.forms.get-startedget-started.blade.phpblade
1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
1x components.forms.tutor-supporttutor-support.blade.phpblade

uri: GET college-homework-library/{category}/{subject}/{id}
middleware: web, utm.parameters
controller: App\Http\Controllers\HomeworkLibraryController@show
namespace
where
as: homework.show
file: app/Http/Controllers/HomeworkLibraryController.php:79-176

20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated38.84ms

Connection Establishedtwenty4_siteHomeworkLibraryController.php#91

Backtrace

13. app/Http/Controllers/HomeworkLibraryController.php:91
14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '63381' limit 1

13.9mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 63381
Backtrace	16. app/Http/Controllers/HomeworkLibraryController.php:97 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subjects` where `subjects`.`id` in (41)

960μstwenty4_siteHomeworkLibraryController.php#97

Backtrace

21. app/Http/Controllers/HomeworkLibraryController.php:97
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (63381)

1.22mstwenty4_siteHomeworkLibraryController.php#97

Backtrace

21. app/Http/Controllers/HomeworkLibraryController.php:97
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

850μstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
Backtrace	20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201 26. app/Http/Controllers/HomeworkLibraryController.php:105 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `solutionslibrary` where `id` <> 63381 and `subject` = 41 and `status` = 'published' and `price` > 0 order by RAND() limit 6

4.01mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 63381 1: 41 2: published 3: 0
Backtrace	14. app/Repositories/HomeworkLibraryRepository.php:30 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Repositories/HomeworkLibraryRepository.php:39 19. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `subjects` where `subjects`.`id` in (41)

900μstwenty4_siteHomeworkLibraryRepository.php#30

Backtrace

19. app/Repositories/HomeworkLibraryRepository.php:30
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Repositories/HomeworkLibraryRepository.php:39
24. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 63381 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.14mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63381 1: question
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 63381 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.03mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63381 1: teaser
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 63381 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

980μstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63381 1: solution
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

820μstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
Backtrace	20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

850μstwenty4_siteSubject.php#100

Bindings	0: 1
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

1.24mstwenty4_siteSubject.php#100

Bindings	0: 3
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1

1mstwenty4_siteSubject.php#100

Bindings	0: 4
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1

1.29mstwenty4_siteSubject.php#100

Bindings	0: 10
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1

1.04mstwenty4_siteSubject.php#100

Bindings	0: 33
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1

1.01mstwenty4_siteSubject.php#100

Bindings	0: 11
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1

1.04mstwenty4_siteSubject.php#100

Bindings	0: 5
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1

1.19mstwenty4_siteSubject.php#100

Bindings	0: 34
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1

3.1mstwenty4_siteSubject.php#100

Bindings	0: 31
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1

1.27mstwenty4_siteSubject.php#100

Bindings	0: 36
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 28. view::components.footer:170

App\Models\HomeworkLibrary\HomeworkLibraryFile: 18HomeworkLibraryFile.php
App\Models\SubjectCat: 12SubjectCat.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php

_token: yW7jfKNiOpPlZYllGAPbfPGwOKugC3M78q2pRB19
utm_source: direct
redirectUrl: /college-homework-library/Mathematics/Pre-Calculus/63381
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Pre...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Mathematics/Pre-Calculus/63381

status_code

status_text

format

html

content_type

text/html; charset=UTF-8

request_query

[]

request_request

[]

request_headers

  0 of 0   
array:21 [▼
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, deflate, br, zstd"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "x-amzn-trace-id" => array:1 [▶
    0 => "Root=1-68080258-272546d962513c9e49de0d74"
  ]
  "host" => array:1 [▶
    0 => "staging.dev.24houranswers.com"
  ]
  "x-forwarded-port" => array:1 [▶
    0 => "443"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "3.133.100.195"
  ]
  "content-length" => array:1 [▶
    0 => ""
  ]
  "content-type" => array:1 [▶
    0 => ""
  ]
]

request_cookies

[]

response_headers

  0 of 0   
array:5 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache, private"
  ]
  "date" => array:1 [▶
    0 => "Tue, 22 Apr 2025 20:55:52 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Ii9JZGVDOW9zdFpkWW1QS0J3N3QvNVE9PSIsInZhbHVlIjoiWUx4SGM0QnB5U01qRnN2WmpHR1pSU1Q1NGxjWEVPZkFrSmdGYXdFQWJDTlBRenVVTXVldHF6d2JNYWp1K2M3WFVXSVMrTjlzRWNRRFVydllncmZnc1FYcVRicEplZXNKSjV2aStIck5GRWxSMVQzWitOdkQ0OXpzZ1ZzZHJyZW0iLCJtYWMiOiIzNDlhMzFlNmNmYWVmZWIwMmI5OGE2NWFkZmMzZGVmYzAwZmZkYzc2NTlmNDZiZDVjNDA4ZDFhY2ZiYjdhZjUyIiwidGFnIjoiIn0%3D; expires=Tue, 22 Apr 2025 22:55:53 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6Ii9JZGVDOW9zdFpkWW1QS0J3N3QvNVE9PSIsInZhbHVlIjoiWUx4SGM0QnB5U01qRnN2WmpHR1pSU1Q1NGxjWEVPZkFrSmdGYXdFQWJDTlBRenVVTXVldHF6d2JNYWp1K2M3WFVXSVMrT ▶"
    1 => "24houranswers_session=eyJpdiI6IlpJOGgxdXE0cjRNMFAxLzJlZkpFMnc9PSIsInZhbHVlIjoibE0wNm9Edm8wRmlMbjdTYnE3bjNBNGdGeWJ5ZHVMSjh5TktCclhIOWpPaDVyUUJOTVkxekpzWi9Mc3AxMm1DRE5Hc1pBSmp5M3ljQVZYTThiNmdEdVRkcENpQnBhZUptQUxxaVZGNFo4Y0ZOUEh4RjN3eWFCUHZzWkFXbFNmNzMiLCJtYWMiOiJjZDcyNzJiZjIxNmQ2NDFkZWM4YTBmNDIwOTcwZDBhZjVlNmNhZTFiYzA4MjgxMjg1NjBkM2E2ZDEwNTM5YmIzIiwidGFnIjoiIn0%3D; expires=Tue, 22 Apr 2025 22:55:53 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6IlpJOGgxdXE0cjRNMFAxLzJlZkpFMnc9PSIsInZhbHVlIjoibE0wNm9Edm8wRmlMbjdTYnE3bjNBNGdGeWJ5ZHVMSjh5TktCclhIOWpPaDVyUUJOTVkxekpzWi9Mc3AxMm ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Ii9JZGVDOW9zdFpkWW1QS0J3N3QvNVE9PSIsInZhbHVlIjoiWUx4SGM0QnB5U01qRnN2WmpHR1pSU1Q1NGxjWEVPZkFrSmdGYXdFQWJDTlBRenVVTXVldHF6d2JNYWp1K2M3WFVXSVMrTjlzRWNRRFVydllncmZnc1FYcVRicEplZXNKSjV2aStIck5GRWxSMVQzWitOdkQ0OXpzZ1ZzZHJyZW0iLCJtYWMiOiIzNDlhMzFlNmNmYWVmZWIwMmI5OGE2NWFkZmMzZGVmYzAwZmZkYzc2NTlmNDZiZDVjNDA4ZDFhY2ZiYjdhZjUyIiwidGFnIjoiIn0%3D; expires=Tue, 22-Apr-2025 22:55:53 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6Ii9JZGVDOW9zdFpkWW1QS0J3N3QvNVE9PSIsInZhbHVlIjoiWUx4SGM0QnB5U01qRnN2WmpHR1pSU1Q1NGxjWEVPZkFrSmdGYXdFQWJDTlBRenVVTXVldHF6d2JNYWp1K2M3WFVXSVMrT ▶"
    1 => "24houranswers_session=eyJpdiI6IlpJOGgxdXE0cjRNMFAxLzJlZkpFMnc9PSIsInZhbHVlIjoibE0wNm9Edm8wRmlMbjdTYnE3bjNBNGdGeWJ5ZHVMSjh5TktCclhIOWpPaDVyUUJOTVkxekpzWi9Mc3AxMm1DRE5Hc1pBSmp5M3ljQVZYTThiNmdEdVRkcENpQnBhZUptQUxxaVZGNFo4Y0ZOUEh4RjN3eWFCUHZzWkFXbFNmNzMiLCJtYWMiOiJjZDcyNzJiZjIxNmQ2NDFkZWM4YTBmNDIwOTcwZDBhZjVlNmNhZTFiYzA4MjgxMjg1NjBkM2E2ZDEwNTM5YmIzIiwidGFnIjoiIn0%3D; expires=Tue, 22-Apr-2025 22:55:53 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6IlpJOGgxdXE0cjRNMFAxLzJlZkpFMnc9PSIsInZhbHVlIjoibE0wNm9Edm8wRmlMbjdTYnE3bjNBNGdGeWJ5ZHVMSjh5TktCclhIOWpPaDVyUUJOTVkxekpzWi9Mc3AxMm ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "yW7jfKNiOpPlZYllGAPbfPGwOKugC3M78q2pRB19"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Mathematics/Pre-Calculus/63381"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Pre-Calculus/63381"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

Part 1: Use trigonometric identities to simplify the expressions....

Similar Homework Solutions

1 x Booting (67.53%)	439ms
1 x Application (32.47%)	211ms