For both the sin(x) and cos(x) graphs the period is 2pi; each graph also has an amplitude of 1. In the graphs, there are vertical asymptotes of sec, csc, tan, and cot; when cos=0 there will be a vertical asymptote on the sec graph and the tan graph. For the cot and sin graphs, there will be a vertical asymptote when sin=0. Though the graphs of sine and cosine have a period of 2pi and an amplitude of 1, they start and stop at different places on the graph.
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April 2015
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