Learn how to solve problems step by step online. Prove the trigonometric identity 1/(cot(x)^2)+1=1/(cos(x)^2). Starting from the left-hand side (LHS) of the identity. Combine all terms into a single fraction with \cot\left(x\right)^2 as common denominator. Apply the trigonometric identity: 1+\cot\left(\theta \right)^2=\csc\left(\theta \right)^2. Rewrite \frac{\csc\left(x\right)^2}{\cot\left(x\right)^2} in terms of sine and cosine functions.

Prove the trigonometric identity 1/(cot(x)^2)+1=1/(cos(x)^2)