Question

if 15 tan 0 = 8 find the value of cos 0 cosec​

Answer 1

Draw a right ∆ABC, ∠B = 90 degrees and ∠A = θ

We know that tan θ = BC/AB = perpendicular/base = 15/8

(where k is a positive)

By Pythagoras Theorem:

AC2 = AB2 + BC2

= 64k2 + 225k2

= 289k2

AC = 17k

Find other T-rations using their definitions:

Sin θ = BC/AC = 15/17

cos θ = AB/AC = 8/17

cosec θ = 1/sin θ = 17/15

sec θ = 1/cos θ = 17/8

cot θ = 1/tan θ = 8/15