Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (sin(x)cos(x)^2+sin(x)^3)/(sin(x)^2)=csc(x). Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sin\left(x\right)\cos\left(x\right)^2+\sin\left(x\right)^3 by it's greatest common factor (GCF): \sin\left(x\right). Simplify the fraction by \sin\left(x\right). Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1.

Prove the trigonometric identity (sin(x)cos(x)^2+sin(x)^3)/(sin(x)^2)=csc(x)