The function \( f(x)=4 \sin ^{3} x-6 \sin ^{2} x+12 \sin x+100 \) i...

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The function \( f(x)=4 \sin ^{3} x-6 \sin ^{2} x+12 \sin x+100 \) is strictly
(A) increasing in \( \left(\pi, \frac{3 \pi}{2}\right) \)
(B) decreasing in \( \left(\frac{\pi}{2}, \pi\right) \)
P
WV
(C) decreasing in \( \left[\frac{-\pi}{2}, \frac{\pi}{2}\right] \)
(D) decreasing in \( \left[0, \frac{\pi}{2}\right] \)
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