Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Divide the numerator and denominator by $\cos(x)^2$
Learn how to solve trigonometric identities problems step by step online.
$\frac{\sin\left(x\right)\cos\left(x\right)}{\cos\left(x\right)^2-\sin\left(x\right)^2}$
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 left-hand side (LHS) of the identity. Divide the numerator and denominator by \cos(x)^2. Expand both the numerator and denominator. Simplify the fraction \frac{\cos\left(x\right)^2}{\cos\left(x\right)^2} by \cos\left(x\right)^2.