How to find the Asymptote of the Curve-

I guess I posted this in the right section?

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- October 5th 2009, 11:30 AM #1

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- October 25th 2009, 10:55 AM #2

- October 25th 2009, 01:41 PM #3

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You should have stated what is. That's probably why you didn't recieve any help right away. When I looked at the problem, I couldn't tell what the curve is. However, I'm going to assume that is a variable that depends on , and then I can solve this equation for to obtain:

So you can think of as a function of . In this situation, there is vertical asymptote to the curve. This occurs when:

This occurs when and on the interval

There are really an infinite number of asymptotes to this curve since the sine function is periodic.

Two of the asymptotes are just the verticle lines and , really I should say theta, but the x-axis is usually represented by x even when we are using angles. So you could just replace theta with x in all of the work above.