math help!!

Question

Prove the identity 1 + cosθ = sin^2θ ÷ 1-cosθ

Answer 1

Ignoring the expression in the middle, which is in error, as I pointed out in my comment, prove:

 

1+cosθ = sin²θ / (1-cosθ)

 

I would start with the right side and work toward the left side:

 

sin²θ / (1-cosθ) = (1-cos²θ) / (1-cosθ) = [(1-cosθ)(1+cosθ)] / (1-cosθ) = 1+cosθ