Here are the sine and cosine curves. Notice that the graphs repeat themselves every 2pi. (In other words, the graphs have a period of 2pi.)

sine curve


cosine curve


Since the cscx and secx are the same as 1/sinx and 1/cosx, respectively, we would assume that the period would be the same. From the diagram we also note that we get the real numbers which are not defined by these functions.

secant curve


cosecant curve


The remaining two are slightly different. They only have period pi. They too have the undefined numbers for the function.

tangent curve


cotangent curve


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