Question

(iv); (1+cot theta+cosec theta)(1+cot theta-cose ) =(cot theta 2 -tan theta 2 )​

Answer 1

Answer:





Use app

Login

Question



Prove that 1+cosθ1−cosθ=cosecθ−cotθ.

Medium

Open in App

Solution



Verified by Toppr

LHS =1+cosθ1−cosθ

Multiply and divide by LHS by (1−cosθ)

      =1+cosθ1−cosθ×1−cosθ1−cosθ

      =1−cos2θ(1−cosθ)2

      =sinθ1−cosθ

      

      =sinθ1−sinθcosθ

      =cosecθ−