Identify the asymptotes in the graph f(x) = −5 cot(2x)

Question

Identify the asymptotes in the graph f(x) = −5 cot(2x),(Enter your answers as a comma-separated list of equations.)

Answer 1

The function cot (2x) is equivalent to cos(2x)/sin(2x) and so there are vertical asymptotes whenever 2x = 0 + k(pi).

 

Thus the VA equations are x = k(pi/2) where k is any integer.