Use the fundamental identities to simplify the expression.
-$$1 - \cos ^ { 2 } \theta$$
A) $\sin ^ { 2 } \theta$
B) $\sin \theta$
C) $- \sin ^ { 2 } \theta$
D) $\tan ^ { 2 } \theta$

Question

Quizplus · Accepted Answer

This expression simplifies to $\sin ^ { 2 } \theta$ due to the Pythagorean identity, which states that $\sin ^ { 2 } \theta + \cos ^ { 2 } \theta = 1$. Rearranging this identity gives $1 - \cos ^ { 2 } \theta = \sin ^ { 2 } \theta$.

Use the Fundamental Identities to Simplify the Expression 1−cos⁡2θ1 - \cos ^ { 2 } \theta1−cos2θ

Use the Fundamental Identities to Simplify the Expression $1 - \cos ^ { 2 } \theta$