Learn how to solve factorization problems step by step online. Prove the trigonometric identity 2(sin(x)^2)/tan(x)=sin(2x). Starting from the left-hand side (LHS) of the identity. Multiplying the fraction by 2. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Divide fractions \frac{2\sin\left(x\right)^2}{\frac{\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}.

Prove the trigonometric identity 2(sin(x)^2)/tan(x)=sin(2x)