Learn how to solve factorization problems step by step online. Prove the trigonometric identity sin(x)^3(1+cot(x)^2)=sin(x). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: 1+\cot\left(\theta \right)^2=\csc\left(\theta \right)^2. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.

Prove the trigonometric identity sin(x)^3(1+cot(x)^2)=sin(x)