Learn how to solve limits by direct substitution problems step by step online. Prove the trigonometric identity sin(x)-sin(x)^3=tan(x)cos(x)^3. Starting from the right-hand side (RHS) of the identity. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(x\right)^3. Simplify the fraction \frac{\sin\left(x\right)\cos\left(x\right)^3}{\cos\left(x\right)} by \cos\left(x\right).

Prove the trigonometric identity sin(x)-sin(x)^3=tan(x)cos(x)^3