Chapter 4 - Graphs of the Circular Functions - Section 4.4 Graphs of the Secant and Cosecant Functions - 4.4 Exercises - Page 180: 32

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RECALL: (1) $\csc{\theta} = \frac{r}{y}$ (2) $\sec{\theta} = \frac{r}{x}$ Since they have the different denominators, then the values for which they are not defined must be different. Example: Cosecant is not defined when $x=0$, but secant is defined when $x=0$. Secant is not defined when $x=\frac{\pi}{2}$ but cosecant is defined when $x=\frac{\pi}{2}$.