Why do sine and cosine not have asymptotes, but the other four trig functions do?
Sine has a ratio of opposite over hypotenuse and cosine has a ratio of adjacent over hypotenuse. In the unit circle the hypotenuse is always going to be one. You can't have any asymptotes because in order to get asymptotes on the graph you would need a zero to be divided and you can't divide by zero if you do zero is undefined. When a trig function is undefined it means it has asymptotes and since sine and cosine are not undefined they do not have asymptotes.
No comments:
Post a Comment