Trig Functions of Any Angles

Find the reference angle for

 $120\degree$  
(Type the angle with no degree symbol)

Find the reference angle for

 $\frac{7\pi}{4}$  
(Type pi for the  $\pi$  symbol)

Name the quadrant in which the angle  $\theta$  lies.

 $\sin\theta<0,\ \cos\theta>0$   

• I

• II

• III

• IV

Use the reference angle to find the exact value of the expression. Do not use calculator.

 $\sin\ \frac{3\pi}{4}$  

•  $\frac{\sqrt{2}}{2}$  

•  $-\frac{\sqrt{2}}{2}$  

•  $\sqrt{2}$  

•  $-\frac{\sqrt{3}}{2}$  

Which angle is coterminal to
 $405\degree$  

•  $45\degree$  

•  $30\degree$  

•  $760\degree$  

•  $-310\degree$  

Find the reference angle for

 $-135\degree$  
(Type only the angle without the degree symbol)

Find the value for

 $\sin180\degree$  

• 0

• 1

• -1

• undefined

Find the exact value of the expression

 $\tan\left(7\pi\right)$  

Find the reference angle for 

 $-\frac{2\pi}{3}$  

•  $\frac{2\pi}{3}$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{6}$  

•  $-\frac{\pi}{3}$  

Find the exact value of

$\cos\left(-45\degree\right)$

• $\frac{\sqrt{3}}{2}$

• $\frac{1}{2}$

• $\sqrt{2}$

• $\frac{\sqrt{2}}{2}$