Mathematics

Problem

The equation

\sin 3x=\sin x

is to be solved for

0\le x<2\pi

. Which of the following set contains all the solutions? a)

x=0,\,\dfrac{\pi}{4},\,\dfrac{3\pi}{4},\,\pi,\,\dfrac{5\pi}{4},\,\dfrac{7\pi}{4},\,2\pi

x=0,\,\dfrac{\pi}{2},\,\pi,\,\dfrac{3\pi}{2}

x=0,\,\dfrac{\pi}{4},\,\dfrac{3\pi}{4},\,\pi,\,\dfrac{5\pi}{4},\,\dfrac{7\pi}{4}

x=\dfrac{\pi}{4},\,\dfrac{3\pi}{4},\,\pi,\,\dfrac{5\pi}{4},\,\dfrac{7\pi}{4}