Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity 1/(sec(x)^2)=1+-1/(csc(x)^2). Starting from the right-hand side (RHS) of the identity. Combine all terms into a single fraction with \csc\left(x\right)^2 as common denominator. Applying the trigonometric identity: \csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2. Simplify \frac{\cot\left(x\right)^2}{\csc\left(x\right)^2} using trigonometric identities.

Prove the trigonometric identity 1/(sec(x)^2)=1+-1/(csc(x)^2)