Free Printable Exact Values of Trig Functions

1.

sin 30 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

2.

sin 45 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

3.

sin 60 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

4.

cos 30 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

5.

cos 45 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

6.

cos 60 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

7.

tan 30 =

a)

0

b)

1

c)

√3

d)

^√3/₃

8.

tan 45 =

a)

0

b)

1

c)

√3

d)

^√3/₃

9.

tan 60 =

a)

0

b)

1

c)

√3

d)

^√3/₃

10.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

11.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

12.

tanθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

13.

a)

b)

c)

d)

14.

Using the Unit Circle, find the exact value of this trig function.

a)

b)

c)

d)

e)

The correct answer is not listed

15.

a)

csc x

b)

sec x

c)

cot x

d)

tan x

16.

What is the measure of the given angle?

a)

-110 degrees

b)

70 degrees

c)

110 degrees

d)

-70 degrees

17.

$\csc\ 390\degree$

a)

-2

b)

2

c)

$\sqrt{2}$

d)

- $\sqrt{2}$

18.

$\tan\ \frac{14\pi}{3}$

a)

$\frac{\sqrt{3}}{3}$

b)

$-\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

19.

$\sec\ \left(-\frac{17\pi}{4}\right)$

a)

$\sqrt{2}$

b)

$-\sqrt{2}$

c)

$\frac{2\sqrt{3}}{3}$

d)

$-\frac{2\sqrt{3}}{3}$

20.

$\cos\ 225\degree$

a)

$\frac{\sqrt{2}}{2}$

b)

$-\frac{\sqrt{2}}{2}$

c)

$-\frac{1}{2}$

d)

$-\frac{\sqrt{3}}{2}$

21.

$\sec\ 240\degree$

a)

2

b)

-2

c)

$\frac{2\sqrt{3}}{3}$

d)

$-\frac{2\sqrt{3}}{3}$

22.

$\tan\ \left(-\frac{\pi\ }{6}\right)$

a)

$\frac{\sqrt{3}}{3}$

b)

$-\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

23.

$\tan\ \frac{9\pi\ }{4}$

a)

1

b)

-1

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

24.

$\sec\ 495\degree$

a)

$\frac{2\sqrt{3}}{3}$

b)

$-\frac{2\sqrt{3}}{3}$

c)

$\sqrt{2}$

d)

$-\sqrt{2}$

25.

$\cot\ \frac{19\pi}{6}$

a)

$\sqrt{3}$

b)

$-\sqrt{3}$

c)

$\frac{\sqrt{3}}{3}$

d)

$-\frac{\sqrt{3}}{3}$

26.

$\cos\ \frac{35\pi}{6}$

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$-\frac{1}{2}$

d)

$-\frac{\sqrt{3}}{2}$

27.

$\sin\ \left(-\frac{17\pi}{3}\right)$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{1}{2}$

28.

$\csc\ \left(-\frac{35\pi}{6}\right)$

a)

$2$

b)

$-2$

c)

$\frac{2\sqrt{3}}{3}$

d)

$-\frac{2\sqrt{3}}{3}$

29.

$\sec\ 510\degree$

a)

$2$

b)

$-2$

c)

$\frac{2\sqrt{3}}{3}$

d)

$-\frac{2\sqrt{3}}{3}$

30.

$\cot\ \left(-\frac{11\pi}{4}\right)$

a)

$-1$

b)

$1$

c)

$0$

d)

undefined

31.

$\cos\ \left(-\frac{23\pi}{4}\right)$

a)

$\frac{\sqrt{2}}{2}$

b)

$-\frac{\sqrt{2}}{2}$

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

32.

$\sin\left(-135\degree\right)$

a)

$\frac{\sqrt{2}}{2}$

b)

$-\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$-\frac{\sqrt{3}}{2}$

33.

$\tan\ \left(-660\degree\right)$

a)

$\frac{\sqrt{3}}{3}$

b)

$-\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

34.

$\csc\ \left(-\frac{23\pi}{6}\right)$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$2$

d)

$-2$

35.

$\tan\ \left(-\frac{21\pi}{4}\right)$

a)

$1$

b)

$-1$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

36.

$\sec\ \left(-\frac{16\pi}{3}\right)$

a)

$\frac{2\sqrt{3}}{3}$

b)

$-\frac{2\sqrt{3}}{3}$

c)

$2$

d)

$-2$

37.

$\sin\ \left(-840\degree\right)$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$-\frac{\sqrt{3}}{2}$

38.

$\cos\ \left(-\frac{11\pi}{3}\right)$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

$-\frac{1}{2}$

d)

$-\frac{\sqrt{3}}{2}$

39.

$\sec\ \left(-900\degree\right)$

a)

-1

b)

1

c)

0

d)

undefined

40.

$Find\ the\ Sin\ \frac{5\pi}{2}$

a)

0

b)

1

c)

-1

d)

undefined

41.

$Find\ Cos\ 113\pi$

a)

0

b)

1

c)

-1

d)

undefined

42.

$Find\ Tan\ \frac{27\pi}{2}$

a)

0

b)

1

c)

-1

d)

undefined

43.

$Find\ Sec\ -17\pi$

a)

0

b)

1

c)

-1

d)

undefined

44.

$Find\ Csc\ \frac{-13\pi}{2}$

a)

0

b)

-1

c)

1

d)

undefined

45.

$Cos\ -270\degree$

a)

0

b)

-1

c)

undefined

d)

1

46.

$Find\ Sec\ -720\degree$

a)

0

b)

1

c)

-1

d)

undefined

47.

sin -60°

a)

$-\frac{\sqrt{3}}{2}$

b)

0

c)

$\frac{1}{2}$

d)

1

48.

cos -90°

a)

0

b)

-1

c)

$-\frac{1}{2}$

d)

undefined

49.

cos π =

a)

0

b)

1

c)

-1

d)

undefined

50.

$\sin\ 990\degree$

a)

0

b)

1

c)

-1

d)

undefined

51.

What is π/3 radians in degrees?

a)

30°

b)

60°

c)

360°

d)

90°

52.

Convert π/4 radians to degrees

a)

90⁰

b)

45⁰

c)

60⁰

d)

30⁰

53.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

54.

$\sec\frac{3\pi}{2}$

a)

0

b)

undefined

c)

1

d)

-1

55.

$\cot\ \frac{\pi}{2}$

a)

undefined

b)

0

c)

1

d)

$\frac{1}{2}$

56.

$\tan\ -\pi$

a)

undefined

b)

0

c)

1

d)

-1

57.

Name the angle indicated by the graph in both radians and degrees.

a)

$-135\degree,\ -\frac{3\pi}{4}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-120\degree,\ -\frac{2\pi}{3}$

d)

$210\degree,\ \frac{7\pi}{6}$

58.

Find the exact value of the trig ratio.
$\sin180\degree$

a)

$0$

b)

$1$

c)

$\frac{1}{2}$

d)

$-1$

59.

$\cot\left(270\degree\right)$

a)

$0$

b)

$1$

c)

$-1$

d)

undefined

60.

$\sec\left(\pi\right)$

a)

$0$

b)

$1$

c)

$-1$

d)

undefined

61.

$\csc\left(\pi\right)$

a)

$0$

b)

$1$

c)

$-1$

d)

undefined

62.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

63.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

64.

Find the reference angle for an angle measuring -300⁰

a)

60⁰

b)

-60⁰

c)

30⁰

d)

45⁰

65.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

66.

Find a coterminal angle to 45 degrees.

a)

360

b)

405

c)

315

d)

295

67.

Find a coterminal angle to 200 degrees.

a)

-520

b)

-200

c)

160

d)

-380

68.

Which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

69.

What is the reference angle for 275°?

a)

85°

b)

95°

c)

-85°

d)

-95°

70.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

Exact Values of Trig Functions

Total questions: 70

Worksheet time: 18hrs 30mins

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