# How do you find the angle between 0 and 2pi radians and another angle between -2pi and 0 radians that are coterminal with 945 degrees?

Aug 12, 2015

The coterminal angles are
$\textcolor{w h i t e}{\text{XXXX}}$$\frac{5 \pi}{4}$ and $- \frac{3 \pi}{4}$

#### Explanation:

${945}^{o}$
$\textcolor{w h i t e}{\text{XXXX}}$$= 2 \cdot \left({360}^{o}\right) + {225}^{o}$

$\textcolor{w h i t e}{\text{XXXX}}$= 3*(360^o)-135^o)

$\textcolor{w h i t e}{\text{XXXX}}$${225}^{o} = 225 \cdot \frac{\pi}{180} \text{ radians " = 5/4pi " radians }$
$\textcolor{w h i t e}{\text{XXXX}}$$- {135}^{o} = 135 \cdot \frac{\pi}{180} \text{ radians " = -3/4pi " radians}$