Question

Find all the other trigonometric ratios cosec theta 25/24​

Answer 1

Answer:

sin θ= 24/25

cos θ= 7/25

tan θ= 24/7

sec θ= 25/7

cot θ= 7/24

Step-by-step explanation:

let Adjacent be A, Opposite be O, and Hypotenuse be H

cosec θ= 25/24

cosec θ= H/O

let,

H=25x;O=24x

Hence,

A=7x (from Pythagorean Triplets 7, 24 and 25)

sin θ= 1/cosec θ

sin θ= 24/25

cos θ= A/H

cos θ= 7x/25x

cos θ= 7/25

tan θ= sin θ/ cosθ

tan θ= 24/7

sec θ= 1/cos θ

sec θ= 25/7

cot θ= 1/tan θ

cot θ= 7/24