Big Question Blog Post
1. Why do sine and cosine NOT have asymptotes, but the other four trig graphs do? Use unit circle ratios to explain
A: An asymptote isA line whose distance to a given curve tends to zero. If we look back at the unit circle we'll see that the trig ratios for sine and cosine are over r, yet r will always be constant, that constant being r=1. Therefore we'll never be able to get asymptotes with sine and cosine. Sine and cosine are never undefined and so they never approach infinity....thus vertical asymptotes for them do not exist. The other trig functions do have asymptotes because they don't have a constant value for the denominator.
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