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.