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.