Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.)

Question

Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.)

g(𝜃) = tan 2𝜃/2𝜃

Answer 1

Since tan 2x/(2x)= [sin 2x/(2x)] (1/cos 2x)

The only vertical asymptotes occur when cos 2x=0.