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Angles in Standard Position

Total questions: 11

Worksheet time: 6mins

Name
Class
Date
1.

Name/ Sec: First Name, Last Name

4 lines
2.

Which of the following shows  150°150\degree  in standard positon?

a)
b)
c)
d)
3.

Which of the following shows  210°-210\degree  graphed in standard position?

a)
b)
c)
d)
4.
Standard position is when .....
a)
the initial side of the angle is on the positive x-axis.
b)
the initial side of the angle is on the negative x-axis.
c)
the initial side of the angle is on the positive y-axis.
d)
the initial side of the angle is on the negative y-axis.
5.

In which quadrant will a 45°-45\degree angle terminate?

a)

I

b)

II

c)

III

d)

IV

6.

 (1,3)\left(-1,\sqrt{3}\right)  lies on the terminal side of  θ\theta  , then 

a)

 r=2r=2  

b)

 r=1r=1  

c)

 θ=120°\theta=120^{\degree}  

d)

 sin(120°)=32\sin\left(120^{\degree}\right)=\frac{\sqrt{3}}{2}  

7.

What is the reference angle and the smallest positive coterminal angle of  832°832^{\degree} 

a)

 22°22^{\degree}  is the reference angle

b)

 68°68^{\degree}  is the reference angle

c)

 472°472^{\degree}  is the smallest coterminal angle

d)

 112°112^{\degree}  is the smallest positive coterminal angle

8.

 (13,3)\left(\sqrt{13},-3\right)  is on the terminal side of standard position angle  θ\theta  .  Find the radius,  rr  .
   

a)

 r=4r=4  

b)

 r=4r=-4  

c)

 r=22r=\sqrt{22}  

d)

 r=22r=-\sqrt{22}  

9.

What is the reference angle and the smallest positive coterminal angle of  136°-136^{\degree} 

a)

 44°44^{\degree}  is the reference angle

b)

 46°46^{\degree}  is the reference angle

c)

 224°224^{\degree}  is the smallest coterminal angle

d)

 584°584^{\degree}  is the smallest positive coterminal angle

10.

State the quadrant where the terminal side of the angle lies.

a)

A

b)

B

c)

C

d)

D

11.
What are the negative and positive coterminal angles of 240 degrees?
a)
540°, -120°
b)
600°, -120°
c)
425°, -240°
d)
120°, -135°