We have learned that trig functions have certain ratios that correspond with them. Sine and cosine do not have asymptotes because because their trig ratios have "r" as their denominator. "R" is always the value of 1 according to the unit circle. This makes it impossible for sine and cosine to have a denominator of 0 which causes an asymptote. Other trig graphs have the possibility of having 0 as the denominator which can create an asymptote.
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