Learn how to solve problems step by step online. Prove the trigonometric identity tan(t)^2sin(t)^2=tan(t)^2-sin(t)^2. Starting from the right-hand side (RHS) of the identity. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where x=\theta and n=2. Combine all terms into a single fraction with \cos\left(\theta\right)^2 as common denominator. Factor the polynomial \sin\left(\theta\right)^2-\sin\left(\theta\right)^2\cos\left(\theta\right)^2 by it's greatest common factor (GCF): \sin\left(\theta\right)^2.

Prove the trigonometric identity tan(t)^2sin(t)^2=tan(t)^2-sin(t)^2