## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Recall the trigonometric identity: $\sin (2 \ \theta)= 2 \sin \theta \cos \theta$ Thus, $\sin (2 \ \theta) \ne \sin^2 \theta -\cos^2 \theta$ Hence, the given statement is $\bf{False}$.