Tuesday, April 22, 2014

BQ#5 – Unit T Concepts 1-3

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

A: The values of sine and cosine can only go to the range of [-1, 1]. The domain can remain infinite. The domain is also infinite as well as for the cosine. It is only their inverse properties because since cosecant and secant have asymptotes where sine are cosine are equal to zero. This is because they are recirprocals of sine and cosine, like I mentioned before. Thus, if the value of sine is 0, the value of cosecant is 1/0., which is undefined. Undefine=Asymptotes. Sine are Cosine are very much alike.

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