BQ #5: Unit T Concepts 1-3

Why do sine and cosine NOT have asymptotes, but the other four trig graphs do? Use unit circle ratios to explain.

http://htmartin.myweb.uga.edu/6190/resources/unitcircletrig.gif

This can be an easy questions to answer if you take a glance at the picture above. *Just make note that the '1' that you see in the picture will be referred to as 'r'. To start off m explanation, r =1 and that's that. The reason why sine and cosine do NOT have asymptotes is because of the r that they have as the denominator. 
Like the picture shows already for sine, the ratio is y over r which is basically y. For cosine the ratio if x over 1 which is basically x. With these ratios for cosine and sine we are guaranteed an answer.
However, for all the other functions, we are not. if we have 1 over 0, now we have undefined which is an asymptote For all the other ratios we will get undefined because if you  have 0 over r (1) for sine and cosine then you will have 0 and that is fine. Having a 0 in the denominator we know that it will be undefined.