Unit Circle Quiz

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## Questions and Answers to Learn

1) Based on your unit circle cos(0^{o})=

**1**- 0
- -1
- 1/2

2) Based on your unit circle sin(90o)=

**1**- 0
- -1
- 1/2

3) sin(5π/3)=

- 1/2
**-√3/2**- √3/2
- -1/2

4) sin(7π/4)

- 1/2
**-√2/2**- √2/2
- -1/2

5) sin(3π/2)

- 0
- 1
**-1**- 1/2

6) Find the exact value of cosine 135º.

**– √2/2**- √2/2
- – √3/2
- 0

7) Based on your unit circle sin(30o)=

- sqt2/2
**1/2**- 1
- sqt3/2

8) Based on your unit circle cos(30o)=

- 1
- 1/2
**sqt3/2**- sqt2/2

9) Tangent is…

a. Opposite/hypotenuse

**b. sine/cosine**

c. neither a or b

d. both a and b

10) Based on your unit circle cos(90o)=

- 1
**0**- -1
- 1/2

11) tan(225°)

- -1
- √2
- 2√3/3
**1**

12) sin(0°)

**0**- 1/2
- √3/2
- 1

13) sin(120°)

- 0
- 1/2
**√3/2**- 1

14) sin 135

**(square root 2)/2**- (-square root 2)/2
- 1/2
- -1/2

15) cos 120

- 1/2
**-1/2**- (square root 3)/2
- (-square root 3)/2

16) cos(π)=

- 0
- 1
**-1**- 1/2

17) sin(π/6)

**1/2**- √2/2
- √3/2
- 2

18) What is the cos of 2π/3?

- -√2/2
- √3/2
**-1/2**- 0

19) What is the sec of 7π/6?

- 2
- √3/2
**−2√3/3**- 0

20) When does sinx=0?

**When π is over 1**- When π is over 3
- When π is 2
- Never

21) What is the csc of 4π/3?

**2/√3**- 2
- 2/√2
- 0

22) When does sinx=1?

- When π is over 3
- When π is over 4
**When π is over 2**- Never

23) What is the tan of 3π/2?

- -√3
- √3/3
- -1
**U****ndefined**

24) What is the tan of 7π/4?

- 0
- 1
**-1**- -√3

25) What is the tan of 3π/4?

- √3
- -√3/3
- -√3
**-1**

26) What is the tan of 4π/3?

- 1
- √3/3
- -√3
**√3**

27) tan(225°)

- -1
- √2
- 2√3/3
**1**

28) What is the length in radians of the arc of the circle from 0 degrees to 120 degrees?

- π/3
- π/6
**2π/3**- 3π/4

29) What are the coordinates that go where the red line is?

**(√3/2,1/2)**- (1/2,√3/2)
- (√2/2,√2/2)
- (√2/2,1/2)

30) What is cosine of the angle where the red line is?

**-√3/2**- √3/2
- -√2/2
- 1/2

31) What is the sine of the angle where the red line is?

- -√3/2
- -1/2
**-√2/2**- √2/2

32) What are the x and y coordinates for the angle shown?

- (√2/2,-1/2)
- (√2/2,-√2/2)
**(√3/2,-1/2)**- (1/2,-√3/2)

33) What is the length in radians of the arc of the circle from 0 degrees to the angle shown?

- 2π/3
- 3π/3
- 4π/3
**5π/3**

34) What is the tan of 11π/6?

- √3/3
**-√3/3**- -√3
- -1

35) What is the tan of π?

**0**- √3/3
- -√3
- -1

36) What is the sin of 4π/3?

- √2/2
**-√3/2**- √3/2
- 1/2