y=2tan(3x)

Question

What is the equation of the asymptotes for the function y=2tan(3x) 

Answer 1

Tangent is undefined whenever cosine is zero; cos 3x = 0 when x = any odd multiple of pi/2.

So by dividing by 3 gives x = any odd multiple of pi/6.

 

The equations of the vertical asymptotes of 2 tan 3x are therefore

(2k+1)(pi/6).