Prove the trigonometric identity $\sin\left(x\right)=\cos\left(x\right)\tan\left(x\right)$

Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sin(x)=cos(x)tan(x). 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). Since we have reached the expression of our goal, we have proven the identity.