The general solution of the equation is

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The general solution of the equation cos⁡3x=0\cos 3x = 0 is (a) x=π6+nπ,  n∈Zx = \dfrac{\pi}{6} + n\pi,\; n\in\mathbb{Z} (b) x=π2+nπ,  n∈Zx = \dfrac{\pi}{2} + n\pi,\; n\in\mathbb{Z} (c) x=π6+nπ3,  n∈Zx = \dfrac{\pi}{6} + \dfrac{n\pi}{3},\; n\in\mathbb{Z} (d) x=π6+2nπ3,  n∈Zx = \dfrac{\pi}{6} + \dfrac{2n\pi}{3},\; n\in\mathbb{Z}

Related theory

Browse the problem library