QuestionProve that $\frac{1-\cos ^{2} x}{\sec ^{2} x-1} = 1-\sin ^{2} x$.

Studdy Solution
We know from the Pythagorean identity that $\cos^2x =1 - \sin^2x$.
$$1 - \sin^2x$$This is the same as the right side of the original equation, so the identity is verified.
$$1 - \sin^2x \equiv1 - \sin^2x$$