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$2\csc\left(x\right)^2\tan\left(x\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity 4csc(2x)=2csc(x)^2tan(x). Starting from the right-hand side (RHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \tan\left(x\right). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}.