Question

At which value will the graph of y=cot x have a zero?

Answer 1

Cot x is zero at \(\pi/2\) and \(3\pi/2\) in the range \(0\le x\le 2\pi\) and cot x is periodic with period \(\ 2\pi\) , so
\[x=n \pi \pm \frac{\pi}{2}\]