I need to solve the following equation: $(-12\cos^2(x)-2\cos(x)+3)(-\sin(x))=0$ on the interval $(0,2\pi)$
I found 3 out of 5 solutions which are the following: $\pi, \arccos\left(\frac{-1-\sqrt{37}}{12}\right) \mbox{ and } \arccos\left(\frac{\sqrt{37}-1}{12}\right)$
Can someone help me find the 2 other solutions
Thank you in advance