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Math 3 Unit Circle Quiz #1

Total questions: 14

Worksheet time: 42mins

Name
Class
Date
1.
What is the length of u and v in this 30-60-90 triangle?
2.

Find x.

a)

10

b)

10310\sqrt{3}

c)

10210\sqrt{2}

d)

20

3.
What is the measure of side c?
a)

72\frac{7}{\sqrt[]{2}}

b)

737\sqrt[]{3}

c)

727\sqrt[]{2}

d)

14

4.

Find a.

a)

9

b)

939\sqrt{3}

c)

92\frac{9}{2}

d)

636\sqrt{3}

5.
cos(30o)
a)
- ½
b)
√3/2
c)
2√3 /3
d)
½
6.

sin 90o

a)

0

b)

1

c)

und

d)

-1

7.

Cos 180o

a)

1

b)

0

c)

-1

d)

und

8.

cos 0

a)

0

b)

-1

c)

1

d)

und

9.

sin 270o

a)

0

b)

1

c)

-1

d)

und

10.

sin 180o

a)

0

b)

1

c)

-1

d)

und

11.

Determine the ordered pair that lies on the unit circle for θ=60°\theta=60\degree  

a)

(32,12)\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)  

b)

(12,32)\left(\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)  

c)

(22,22)\left(\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)  

d)

(0,1)\left(0,1\right)  

12.

Determine the ordered pair that lies on the unit circle for θ=150°\theta=150\degree

a)

(32,12)\left(-\frac{\sqrt[]{3}}{2},-\frac{1}{2}\right)  

b)

(12,32)\left(-\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)  

c)

(22,22)\left(-\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)  

d)

(32,12)\left(-\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)  

13.

Now, for Quadrant I of the Unit Circle, please complete the coordinates before we move onto finish Degrees to Radians. Recall the importance of Desmos.

Recall the importance of thinking in terms of two number lines intersecting at, "(0, 0)."

14.

Drag the angles to their correct locations on the unit circle​