BQ #5: Unit T Concept 1-3

          Why do sine and cosine NOT have asymptotes, but the other four trig graphs do? Use unit circle ratios to explain.

Sine and cosine graphs will never have asymptotes and reason being is their unit circle ratio. The ratio for sine is y/r and for cosine it is x/r. In the unit circle we know that r will always equal 1. And we know that asymptotes are there when it is undefined which means there is a 0 as the denominator. But for sine and cosine according to the ratio it will always be over 1 keeping it from being undefined. All the other graphs may have asymptotes because their ratios are either over x or y. And it is possible for the x and y values to be 0. When any ratio is over 0 it becomes undefined creating an asymptote.