Problem

Problem

The number of solutions of the pair of equations 2sin⁡2θ−cos⁡2θ=02\sin^2 \theta - \cos 2\theta = 0 and 2cos⁡2θ−3sin⁡θ=02\cos^2 \theta - 3\sin \theta = 0 in the interval [0,2π][0, 2\pi] is a. 0 b. 1 c. 2 d. 4

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