Question

Prove the identity (1+ cosec theta) (1-sin theta) =cos theta cot theta

Answer 1

we can write it as (1+1/sin theta) (1-sin theta)
=1-sin theta+1/sin theta-1
1/sin theta -sin theta
1-sin^2theta /sin theta
cos^2 theta /sin
cos/sin.cos
cot theta.cos theta.