Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sec(x)/csc(x)=tan(x). Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Simplify the fraction \frac{\frac{1}{\cos\left(x\right)}}{\frac{1}{\sin\left(x\right)}}.

Prove the trigonometric identity sec(x)/csc(x)=tan(x)