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Starting from the right-hand side (RHS) of the identity
Rewrite $\frac{2}{\cot\left(x\right)-\tan\left(x\right)}$ in terms of sine and cosine functions
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$\frac{2}{\cot\left(x\right)-\tan\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity tan(2x)=2/(cot(x)-tan(x)). Starting from the right-hand side (RHS) of the identity. Rewrite \frac{2}{\cot\left(x\right)-\tan\left(x\right)} in terms of sine and cosine functions. Divide fractions \frac{2}{\frac{\cos\left(x\right)^2-\sin\left(x\right)^2}{\sin\left(x\right)\cos\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Simplify 2\sin\left(x\right)\cos\left(x\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x).