How do the graphs of sine and cosine relate to each of the others?
Remember that sine and cosine have asymptotes because they are undefined when a zero is placed as a denominator, you can't divide by zero. To relate these to all the other trig functions we know that sine and cosine are involved with their ratios.
For tangent we know that it is equal to sine over cosine. We can see that tangent will have asymptotes at 3pi/2 and pi/2.
Cotangent is the exact opposite of tangent instead of being sine/cosine it is cosine/sine.
Secant will always be like the graph for cosine but the only thing that is different is the asymptotes, secant is related to cosine because it is the the reciprocal 1/cos is equal to secant.
Cosecant follows the graph of sine and it is the reciprocal of sine,1/sin equals Cosecant. The difference again is the asymptotes.
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