BQ #5: Unit T: Concepts 1-3: Why do sine and cosine NOT have asymptotes, but the other four trig graphs do?

Sine and Cosines are the only trig functions that don't have any asymptotes. This is because the value of sin and cosine will never be undefined. Both Sine and Cosine are divided by '"r." r=1 and so the Sin (y/r) and Cosine (x/r) are always divide by 1.

 Now the others aren't as lucky. Since Secant (r/x) and Cosecant (r/y) are divided by x or y. Whenever x or y is equal to 0 then it will be undefined and this is the reason for Asymptotes to be formed. Same goes for Tangent (y/x) and        

Cotangent (x/y)                                                       

(Image here)