Verify: (tan(theta)sinsquared(theta))/1+cos(theta) = tan(theta) - sin(theta)

Answer 1

(tan(theta)sinsquared(theta))/1+cos(theta) = tan(theta) - sin(theta)

Tanθ Sin²θ / (1 + Cosθ)

Tanθ(1-Cos²θ)/(1 + Cosθ) Substituting using the identity Sin²θ + Cos²θ = 1 where Sin²θ = 1 - Cos²θ

Factoring:

Tanθ(1-Cosθ)(1+Cosθ)/(1 + Cosθ) Cancel (1 + Cosθ)'s

yields: Tanθ(1-Cosθ)

I did not get the answer above.