Free Printable Unit Circle Quiz (all 6)

1.

cos(60°)

a)

0

b)

1/2

c)

√3/2

d)

1

2.

cos(2π/3)

a)

-√2/2

b)

√3/2

c)

-1/2

d)

0

3.

sin(5π/3)=

a)

1/2

b)

-√3/2

c)

√3/2

d)

-1/2

4.

Find a co-terminal angle to 90 degrees.

a)

-270

b)

340

c)

-90

d)

360

5.

In which quadrant would you find an angle measuring θ = 70°

a)

1

b)

2

c)

3

d)

4

6.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

7.

What is the reference angle for -30 degrees?

a)

150 degrees

b)

30 degrees

c)

80 degrees

d)

60 degrees

8.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

9.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

10.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

11.

a)

-1

b)

0

c)

undefined

d)

√3

12.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

13.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

14.

Find cos(600°)

a)

(-1/2)

b)

(-√3/2)

c)

(√3/2)

d)

(√2/2)

15.

csc 330⁰

a)

2

b)

-2

c)

√2

d)

-√2

16.

sec π/2

a)

undef

b)

0

c)

1

d)

-1

17.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

18.

a)

csc x

b)

sec x

c)

cot x

d)

tan x

19.

cot 450^o

a)

0

b)

1

c)

-1

d)

und

20.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

21.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

22.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

23.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

24.

What is the exact coordinates of -3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

25.

a)

-√3/2

b)

-½

c)

-√2/2

d)

-1

26.

a)

1

b)

-1

c)

0

d)

√2/2

27.

a)

½

b)

√2/2

c)

√3/2

d)

1

28.

a)

Undefined

b)

0

c)

1

d)

-1

29.

a)

-√3

b)

√3 / 2

c)

1 / 2

d)

-1 / 2

30.

a)

2/√3

b)

-1 / √3

c)

-2 / √3

d)

√3

31.

a)

-√3 / 2

b)

-1 / 2

c)

1 / 2

d)

2 / √3

32.

a)

1

b)

0

c)

-1

d)

Undefined

33.

a)

√2

b)

3 / √2

c)

1

d)

1 / √2

34.

a)

-1

b)

1 / √2

c)

1

d)

-1/√2

35.

a)

-1/√3

b)

√3

c)

-√3

d)

1/√3

36.

a)

1

b)

-1

c)

Undefined

d)

0

37.

a)

1 / 2

b)

√3 / 2

c)

-1 / 2

d)

-√3 / 2

38.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

39.

*

a)

sin x

b)

cos x

c)

tan x

d)

csc x

40.

sec(7π /4)

a)

-√2 /2

b)

√2

c)

√2 /2

d)

-√2

41.

$\sin\theta=\cos\theta$

a)

always

b)

never

c)

all multiples of $\frac{\pi}{4}$

d)

Quadrant I, Quadrant III

42.

$\sin\theta=-\cos\theta$

a)

always

b)

never

c)

all multiples of $\frac{\pi}{4}$

d)

Quadrant II, Quadrant IV

43.

$\tan\theta=\cot\theta$

a)

always

b)

never

c)

only for $\theta=\frac{\pi}{4},\ \frac{5\pi}{4}$

d)

$\theta=\frac{\pi}{4},\ \frac{3\pi}{4},\ \frac{5\pi}{4},\ \frac{7\pi}{4}$

Unit Circle Quiz (all 6)

Total questions: 43

Worksheet time: 11hrs 45mins

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