1.) Why do sine and cosine NOT have asymptotes, but the other four trig graphs do? Use unit circle ratios to explain.
When you look back at the unit circle for SINE, COSINE, and TANGENT we had ratios to which we derived the SOH-CAH-TOA where we could see the where the ratios came from. When you see sine and cosines ratio they are both over "r". For sine it's ratio is y/r and then for cosine it is x/r. In the unit circle, it's whole radius is equal to one, therefore that means that sine and cosine will not have asymptote because hey are just over 1 unlike all the other functions. Cosecant, secant, tangent, and cotangent are all over different numbers which makes them have an asymptote, the asymptote being the number the equals either the x or the y. In cosecant and secant their ratio has the r on the top of the fraction leaving the bottom with other variables.
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