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

1

0

-1

1/2

Answer: 1

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

1

0

-1

½

Answer: 1

3) sin(5π/3)=

1/2

-√3/2

√3/2

-1/2

Answer: -√3/2

4) sin(7π/4)

1/2

-√2/2

√2/2

-1/2

Answer: -√2/2

5) sin(3π/2)

0

1

-1

1/2

Answer:-1

6) Find the exact value of cosine 135º.

– √2/2

√2/2

– √3/2

0

Answer: – √2/2

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

sqt2/2

1/2

1

sqt3/2

Answer: 

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

1

1/2

sqt3/2

sqt2/2

Answer: sqt3/2

9) Tangent is…

a. Opposite/hypotenuse

b. sine/cosine

c. neither a or b

d. both a and b

Answer: b. sine/cosine

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

1

0

-1

1/2

Answer: 0

11) tan(225°)

-1

√2

2√3/3

1

Answer: 1

12) sin(0°)

0

1/2

√3/2

1

Answer: 0

13) sin(120°)

0

1/2

√3/2

1

Answer: √3/2

14) sin 135

(square root 2)/2

(-square root 2)/2

1/2

-1/2

Answer: (square root 2)/2

15) cos 120

1/2

-1/2

(square root 3)/2

(-square root 3)/2

Answer: -1/2

16) cos(π)=

0

1

-1

1/2

Answer: -1

17) sin(π/6)

1/2

√2/2

√3/2

2

Answer: 1/2

18) What is the cos of 2π/3?

-√2/2

√3/2

-1/2

0

Answer: -1/2

19) What is the sec of 7π/6?

2

√3/2

−2√3/3

0

Answer: −2√3/3

20) When does sinx=0?

When π is over 1

When π is over 3

When π is 2

Never

Answer: When π is over 1

21) What is the csc of 4π/3?

2/√3

2

2/√2

0

Answer: 2/√3

22) When does sinx=1?

When π is over 3

When π is over 4

When π is over 2

Never

Answer: When π is over 2

23) What is the tan of 3π/2?

-√3

√3/3

-1

Undefined

Answer: Undefined

24) What is the tan of 7π/4?

0

1

-1

-√3

Answer: -1

25) What is the tan of 3π/4?

√3

-√3/3

-√3

-1

Answer: -1

26) What is the tan of 4π/3?

1

√3/3

-√3

√3

Answer: √3

27) tan(225°)

-1

√2

2√3/3

1

Answer: 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

Answer: 2π/3

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)

Answer: (√3/2,1/2)

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

-√3/2

√3/2

-√2/2

½

Answer: -√3/2

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

-√3/2

-1/2

-√2/2

√2/2

Answer: -√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)

Answer: (√3/2,-1/2)

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

Answer: 

34) What is the tan of 11π/6?

√3/3

-√3/3

-√3

-1

Answer: 5π/3

35) What is the tan of π?

0

√3/3

-√3

-1

Answer: 0

36) What is the sin of 4π/3?

√2/2

-√3/2

√3/2

½

Answer: √3/2

30 degrees

Answer: π/6

45 degrees

Answer:π/4

60 degrees

Answer:π/3

120 degrees

Answer:2π/3

135 degrees

Answer:3π/4

150 degrees

Answer: 5π/6

210 degrees

Answer:7π/6

225 degrees

Answer:5π/4

240 degrees

Answer: 4π/3

90 degrees

Answer: π/2

180 degrees

Answer: π

270 degrees

Answer: 3π/2

300 degrees

Answer: 5π/3

315 degrees

Answer: 7π/4

330 degrees

Answer: 11π/6

360 degrees

Answer: 2π