Why do sine and cosine NOT have asymptotes, but the other four trig graphs do? Use unit circle ratios to explain.
We can explain why sine and cosine do not have asymptotes simply by referring to their trig ratios: sin= y/r & cos= x/r. Because we are using the Unit Circle, the radius will always be the absolute value of one. If the radius will always be one then we know that the ration will never be undefined because the value cannot be zero. Now here is where we can see the connection: if there is no undefined value, automatically we know that there are no asymptotes.
This cannot be applied to their reciprocals nor tangent or cotangent because these trig function rations can have any value as the denominator which includes zero that would make it undefined. This is because both the y and the x values have no restrictions.
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