In the interval

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

In the interval 0≤x≤4π0 \le x \le 4\pi, the equation 2sin⁡x=32\sin x = \sqrt{3} is to be solved under the additional condition cos⁡x>0\cos x > 0. What is the sum of all such values of xx? (a) 10π3\dfrac{10\pi}{3} (b) 8π3\dfrac{8\pi}{3} (c) 6π6\pi (d) 7π3\dfrac{7\pi}{3}

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