Question

For what values of x, if any, does `f(x) = cot(pi/8-2x)` have vertical asymptotes?

Answer 1

See below.

Explanation:

`f(x)=cot(π/8-2x)` `=cos(π/8-2x)/sin(π/8-2x)`

`sin(π/8-2x) = 0` `<=> π/8-2x=kπ` , `k` `inZZ`

You can find some by replacing for `k=1` , `k=2` ,... `k=n` and solving as `x`