Question

What is the vertical asymptote for f(x) = tan(x) / sin(x)

Answer 1

wherever sin(x) is 0

Answer 2

Thank you, Can you please explain a little more?

Answer 3

a function has a vertical asymptote at the x value that makes the denominator zero. Now in your case we have sin(x) in the denominator. When we look at the unit circle we see that sin(x) is zero at 0,pi, 2pi, basically any multiple of pi

Answer 4

Ohh okay. Thanks, makes sense now!