Question

What is the vertical asymptote of the function 1 over (cos pi x over 2)?

Answer 1

`f(x)=(1)/(\cos(x)/(2))\\\\\cos(x)/(2)=0\iff(x)/(2)=(\pi)/(2)+k\pi\ \ \ \ \ |\cdot2\\\\\boxed{x=\pi+2k\pi,\ k\in\mathbb{Z}}`