The function $f(x)=4\sin^3x-6\sin^2x+12sin x+100$ is strictly

Question

\[\begin{array}{1 1}(A)\;increasing\;in\bigg(\pi,\frac{3\pi}{2}\bigg) & (B)\;decreasing in \bigg(\frac{\pi}{2},\pi\bigg)\\(C)\;decreasing\; in\bigg(\frac{-1}{2},\frac{1}{2}\bigg) & (D)\;decreasing \;in\bigg(0,\frac{1}{2}\bigg)\end{array}\]