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