Sine and cosine do not have asymptotes because we are never going to divide by the value of zero sine "x" and "y". The value of "r" is always set equal to 1 in the Unit Circle. The ratio for sine is "y/r" and the ratio for cosine is "x/r". In the other trig functions, there is a possibility that the denominators "x" and "y" can be valued at zero.

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