trig question (pls help,, ty)

Question

Verify the identity (2tanθ)/1+tan^2θ = sin2θ, given that trigonometric point P(θ)= (a,b). USE the given trigonometric point in the solution.

Answer 1

2tanθ/(1 + tan²θ) = 2tanθcos²θ/[(1 + tan²θ)cos²θ] = 2sinθcosθ/(cos²θ + sin²θ) = sin2θ/1 = sin2θ