Which of the following gives the complete set of real numbers that are excluded from…

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

Problem

Which of the following gives the complete set of real numbers that are excluded from the domain of the function

f(x)=\tan x

? (a)

x=n\pi,\;n\in\mathbb{Z}

(b)

x=\dfrac{n\pi}{2},\;n\in\mathbb{Z}

(c)

x=\dfrac{\pi}{2}+n\pi,\;n\in\mathbb{Z}

(d)

x=\dfrac{\pi}{2}+2n\pi,\;n\in\mathbb{Z}