# How do you sketch theta=(7pi)/4 in standard position?

Jul 29, 2015

$2 \pi = \frac{8 \pi}{4}$ is one full revolution
$\rightarrow \frac{7 \pi}{4}$ is $\frac{\pi}{4}$ less than a full revolution.

#### Explanation:

...to look at it another way:

$\frac{\pi}{2}$ is a right angle

$\frac{7 \pi}{4} = 3 \cdot \left(\frac{\pi}{2}\right) + \frac{1}{2} \cdot \frac{\pi}{2}$
$\textcolor{w h i t e}{\text{XXXX}}$ is 3 right-angles plus half a right angle