A trigonometric function has vertical asymptotes at

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

Problem

A trigonometric function

h(x)

has vertical asymptotes at

x=-\dfrac{\pi}{2}+n\pi

, where

n

is any integer, and the graph passes through the origin. Which of the following could be

h(x)

? (a)

\cot x

(b)

\sec x

(c)

\tan x

(d)

\tan\left(x+\dfrac{\pi}{2}\right)