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Question

Mathematics Question on Trigonometric Equations

The solutions of the equation cosθ=23sin(θ2) in the interval 0θπ arecos\theta=2-3sin(\frac{\theta}{2})\ in\ the\ interval\ 0\leq\theta\leq\pi\ are

A

π4,π\frac{\pi}{4},\pi

B

π3,π2\frac{\pi}{3},\frac{\pi}{2}

C

π3,π\frac{\pi}{3},\pi

D

π6,π2\frac{\pi}{6},\frac{\pi}{2}

E

π6,π\frac{\pi}{6},\pi

Answer

π3,π\frac{\pi}{3},\pi

Explanation

Solution

The correct option is (C) : π3,π\frac{\pi}{3},\pi