Mathematics

Problem

In the interval

0 \le x \le 4\pi

, the equation

2\sin x = \sqrt{3}

is to be solved under the additional condition

\cos x > 0

. What is the sum of all such values of

x

? a)

\dfrac{10\pi}{3}

\dfrac{8\pi}{3}

6\pi

\dfrac{7\pi}{3}