The graphs of sine and cosine are related to each of the other trig function graphs in the sense that they contain the measurements found within the Unit Circle. For secant and cosecant, we use the frame of a sine/cosine graph to draw the graphs in the shape of parabolas between the asymptotes. In tangent and cotangent graphs, it is evident that the shape of sine/cosine is depicted but simply cut in half by asymptotes.
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