Question

How do you find asymptotes on a tangent graph? Like 2tan3x. I have the graph labeled, I have the period, amplitude, etc, I just don't know how to get the asymptotes.

Answer 1

@Nnesha @freckles @jim_thompson5910

Answer 2

@SolomonZelman

Answer 3

ok, look at tan, tan= sin/cos, right? hence, it is undefined when cos =0

Answer 4

when cos =0? it happens if x = pi/2, 3pi/2, right?

Answer 5

dat sit. or if you remember, tan function is undefined if x = those guys.

Answer 6

Why does tan= sin/cos? Is there a formula to remember here?

Answer 7

I think so. my prof told me that tan = sin/cos

Answer 8

\[\sin(\theta)=\frac{y}{r} \\ \cos(\theta)=\frac{x}{r} \\ \tan(\theta)=\frac{y}{x} \text{ which is another way to express } \frac{\frac{y}{r}}{\frac{x}{r}} \\ \text{ which is another way to express } \frac{\sin(\theta)}{\cos(\theta)}\]