Trigonometry/Graphs of Other Trigonometric Functions

A graph of $\tan (x)$. $\tan (x)$ is defined as $\frac{\sin (x)}{\cos (x)}$.

A graph of $\csc (x)$ . $\csc (x)$ is defined as $\frac{1}{\sin (x)}$ .

A graph of $\sec (x)$ . $\sec (x)$ is defined as $\frac{1}{\cos (x)}$ .

A graph of $\cot (x)$ . $\cot (x)$ is defined as $\frac{1}{\tan (x)}$ or $\frac{\cos (x)}{\sin (x)}$ .

Note that $\tan (x)$ , $\sec (x)$ , and $\csc (x)$ are unbounded, positive or negative. While $\tan (x)$ (and $\cot (x)$) can take any value, $\sec (x)$ and $\csc (x)$ can never lie between -1 and 1.