What are the intervals in which the function F(x)= tan2x is continuous?

Question

What are the intervals in which the function F(x)= tan2x is continuous?
I really want to say continuous at every interval because in my book it says that trig functions are continuous on every point in their domain, but i'm not sure.

My textbook is Calculus of a single variable, seventh addition.

Answer 1

(-pi/4+ n*pi/2 , pi/4 + n*pi/2) where n is any integer