(Calculus) For $0 \leqq x < 2\pi$, the sum of all distinct values of $x$ satisfying the equation $\sin 2x = 2\cos x - 2\cos^2 x$ is? [3 points] (1) $\pi$ (2) $\frac{5}{4}\pi$ (3) $\frac{3}{2}\pi$ (4) $\frac{7}{4}\pi$ (5) $2\pi$
(Calculus) For $0 \leqq x < 2\pi$, the sum of all distinct values of $x$ satisfying the equation $\sin 2x = 2\cos x - 2\cos^2 x$ is? [3 points]\\
(1) $\pi$\\
(2) $\frac{5}{4}\pi$\\
(3) $\frac{3}{2}\pi$\\
(4) $\frac{7}{4}\pi$\\
(5) $2\pi$