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Starting from the left-hand side (LHS) of the identity
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$\frac{1}{2}\left(\cot\left(x\right)+\tan\left(x\right)\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity 1/2(cot(x)+tan(x))=csc(2x). Starting from the left-hand side (LHS) of the identity. Move \frac{1}{2} to the denominator. Rewrite \frac{\cot\left(x\right)+\tan\left(x\right)}{2} in terms of sine and cosine functions. Simplify \sin\left(x\right)\cos\left(x\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x).