Final answer to the problem
Step-by-step Solution
Specify the solving method
Starting from the right-hand side (RHS) of the identity
Apply the trigonometric identity: $\cot(x)=\frac{\cos(x)}{\sin(x)}$
Learn how to solve trigonometric identities problems step by step online.
$\frac{\cot\left(x\right)^2-1}{2\cot\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cot(2x)=(cot(x)^2-1)/(2cot(x)). Starting from the right-hand side (RHS) of the identity. Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Combine all terms into a single fraction with \sin\left(x\right)^2 as common denominator. Applying the trigonometric identity: \cos\left(\theta \right)^2-\sin\left(\theta \right)^2 = \cos\left(2\theta \right).