Learn how to solve equivalent expressions problems step by step online. Prove the trigonometric identity cot(x)/csc(x)=cos(x). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. We can simplify the quotient of fractions \frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\frac{1}{\sin\left(x\right)}} by inverting the second fraction and multiply both fractions.

Prove the trigonometric identity cot(x)/csc(x)=cos(x)