Solve the problem.
-$$\sin \frac { x } { 2 } \cos \frac { x } { 2 } = \frac { \sin x } { 2 }$$
A) Identity
B) Not an identity

Name: Solve the problem. -\[\sin \frac { x } { 2 } \cos \frac { x } { 2 } = \frac { \sin x } { 2 }\] A) Identity B) Not an identity
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Question

Quizplus · Accepted Answer

The given equation is an identity because using the double angle identity for sine, $\sin x = 2 \sin \frac{x}{2} \cos \frac{x}{2}$, the equation simplifies to itself.

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Solve the Problem $\sin \frac { x } { 2 } \cos \frac { x } { 2 } = \frac { \sin x } { 2 }$