Using a sum or difference identity, write the following as an expression involving functions of x.
-$$1 - \cos ^ { 2 } \theta$$
A) $\sin \theta$
B) $- \sin ^ { 2 } \theta$
C) $\sin ^ { 2 } \theta$
D) $\tan ^ { 2 } \theta$

Question

Quizplus · Accepted Answer

The expression $1 - \cos^2 \theta$ can be rewritten using the Pythagorean identity for sine and cosine, which states that $\sin^2 \theta + \cos^2 \theta = 1$. Rearranging this identity to solve for $\sin^2 \theta$, we get $\sin^2 \theta = 1 - \cos^2 \theta$.

Using a Sum or Difference Identity, Write the Following as an Expression