Complete the identity.
-$\cos \left( \frac { 3 \pi } { 2 } - x \right) =$ ?
A) $- \sin x$
B) $\sin x$
C) $- \cos x$
D) $\cos x$

Name: Complete the identity. -$\cos \left( \frac { 3 \pi } { 2 } - x \right) =$ ? A) $- \sin x$ B) $\sin x$ C) $- \cos x$ D) $\cos x$
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Question

Quizplus · Accepted Answer

Using the co-function identity, $\cos(\frac{3\pi}{2} - x) = -\sin(x)$. This is because $\cos(\frac{\pi}{2} - x) = \sin(x)$, and since $\frac{3\pi}{2} - x$ is in the third quadrant where sine is negative, the answer is $-\sin(x)$.

Complete the Identity cos⁡(3π2−x)=\cos \left( \frac { 3 \pi } { 2 } - x \right) =cos(23π​−x)=

Complete the Identity $\cos \left( \frac { 3 \pi } { 2 } - x \right) =$