Question

For $n\in I$, the line $x=n\pi +\frac{\pi }{2}$ does not intersect the graph of

• A. $\cot (x+\pi )$
• B. $\cos (x-\pi )$
• C. $\sin x$
• D. $\tan x$

Answer 1

The correct option is D $\tan x$

The line $x=n\pi +\frac{\pi }{2}$ is a vertical line, so it will intersect both sine and cosine functions,

However, at $x=n\pi +\frac{\pi }{2}$, $\tan x$ is not defined.

Hence, given line does not intersect the graph of $\tan x$.