Question

If cos theta =7/25 find the value of cosec theta and cot theta

Answer 1

$\tt \large AHOY!! \:$

given cos∅ = 7/25

consider any right angle ∆ABC

we know that cos∅ = base/hypotenuse

therefore BC = 7 and AC = 25

by Pythagoras theorem, we get

=> AC² = AB² + BC²

=> 25² = AB² + 7²

=> 625 = AB² + 49

=> 625 - 49 = AB²

=> 576 = AB²

=> AB = √576

=> AB = 24

therefore perpendicular = 24

now we can easily find the value of cosec∅ and cot∅

cosec∅ = hypotenuse/perpendicular
= 24/25

cot∅ = base/perpendicular
= 7/24

$\tt \large HOPE \: THIS \: HELPS!!$

Answer 2

Referred to the attachments.........