Trig Functions of Any Angle

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

 $\sin\theta<0,\ \cos\theta>0$   

• I

• II

• III

• IV

Tags

CCSS.HSF.TF.A.2

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

 $\sin\ \frac{3\pi}{4}$  

•  $\frac{\sqrt{2}}{2}$  

•  $-\frac{\sqrt{2}}{2}$  

•  $\sqrt{2}$  

•  $-\frac{\sqrt{3}}{2}$  

Tags

CCSS.HSF.TF.A.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)

(a)  

Find the value for

 $\sin180\degree$  

• 0

• 1

• -1

• undefined

Tags

CCSS.HSF.TF.A.2

Find the reference angle for 

 $-\frac{2\pi}{3}$  

•  $\frac{2\pi}{3}$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{6}$  

•  $-\frac{\pi}{3}$  

State the reference angle for

 $600\degree$  
(Type the answer with no degree symbol)

(a)  

Which function is positive in quadrant IV?

• $\sin\theta$

• $\cos\theta$

• $\tan\theta$

• $\csc\theta$

Tags

CCSS.HSF.TF.A.2

The reference angle of an angle is always an acute angle.

• True

• False

Let (24, -7) be a point on the terminal side of angle q. Evaluate the tan of q.

(a)  

Tags

CCSS.HSF.TF.A.2