Question

Using Trigonometry identities prove a) Root 1-sin 2 theeta / Root 1 - cos 2 theeta = cot theeta

Answer 1

1-sin^2θ= cos^2θ----(1)
1-cos^2θ= sin^2θ----(2)

Given
Lhs =(root 1-sin^2θ)/(root 1-cos^2θ)

From (1) and (2)
=( root cos^2θ)/(root sin^2θ)
=cosθ/sinθ
=cotθ
=RHS