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# Graphing of Trigonometric Functions

### Graphs of $$\sin x$$, $$\cos x$$ and $$\tan x$$

• It is conventional to measure angles in radians.
• Both the sine and cosine are periodic functions with $\mbox{Period}=2 \pi$
• Range of the sine and cosine functions are $-1\leq\sin(x)\leq 1\quad\mbox{and}\quad-1\leq\cos(x)\leq 1$

• The tangent function is a periodic function: Period $$=\pi$$
• The range of the tangent function is $$-\infty< \tan (x) < \infty$$
• The tangent function has vertical asymptotes when $x=\ldots,-\frac{3\pi}{2}, -\frac{\pi}{2}, \frac{\pi}{2}, \frac{3\pi}{2},\ldots$