Statement-1: The number of common solutions of the trigonometric equations 2 sin2q – cos 2q = 0 and 2 cos2 q – 3 sin q = 0 in the interval [0, 2p] is two. Statement-2: The number of solutions of the equation, 2 cos2 q – 3 sin q = 0 in the interval [0, p] is two.

Statement-1: The number of common solutions of the trigonometric equations $2 \sin ^{2} \theta-\cos 2 \theta=0$ and $2 \cos ^{2} \theta-3 \sin \theta=0$ in the interval $[0,2 \pi]$ is two.

Statement-2: The number of solutions of the equation, 2 $\cos ^{2} \theta-3 \sin \theta=0$ in the interval $[0, \pi]$ is two.