Prove: √(1- cos θ)/ (1 + cos θ) = cosec θ - cot θ

Question

Prove:

\(\sqrt \frac{1\,-\, cos \,θ}{1 \,+\, cos \,θ}\) = cosec θ - cot θ

Answer 1

We know that, 

sin² θ + cos² θ = 1 

Taking the L.H.S,

= R.H.S 

Hence Proved