BQ#5: Unit T Concepts 1-3

Sine and cosine graphs do not have asymptotes because their denominator is 1, going back to Unit Circle ratios.
Sin=y/r
Cos=x/r
Csc=r/y
Sec=r/x
Tan=y/x
Cot=x/y
As we see above, the only ratios that have r as the denominator are sine and cosine. R means that the numerator will always have 1 as the denominator, unlike all of the other trig functions. The other trig functions can be either greater or less than 1, so they have asyptotes. Because sine and cosine have the denominator as being 1, they will always be a real number. The other trig functions, however, can end up with 0 as their denominator, causing these functions to be undefined. The result of these undefined functions are what cause these trig functions to have asymptotes