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.