Question

if codex theta -cot theta=1/5 then find the value of sin theta ​

Answer 1

Answer:

cosec theta - cot theta = 1/5

1/sin theta - cos theta/sin theta = 1/5

1 - cos theta /sin theta = 1/5

1- cos theta = sin theta /5

√1- sin^2 theta = 1 - sin theta/5

sin^2 theta = sin^2 theta/25 - 2 sin theta/5

sin theta (24/25) = - 2/5

sin theta = -5/12