Free Printable 10.2 Quiz Review

1.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

2.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

3.

What is the reference angle for -310⁰?

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

4.

What is the reference angle?

a)

163

b)

73

c)

27

d)

107

5.

What is the reference angle for 2pi/3

a)

pi/4

b)

7pi/6

c)

4pi/3

d)

pi/3

6.

Which of the following is a correct representation of the reference angle of $\theta=210\degree$

a)

b)

c)

d)

7.

Which of the following is a correct representation of the reference angle of $\theta=-150\degree$

a)

b)

c)

d)

8.

$\tan\ 300\degree$ = ______

a)

$\frac{1}{\sqrt{3}}\ or\ \frac{\sqrt{3}}{3}$

b)

$-\ \frac{1}{\sqrt{3}}\ or\ \ -\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

9.

If $\sin\theta\ =\frac{3}{5}$ and $\frac{\pi}{2}\le\theta\le\frac{3\pi}{2}$ , find $\cos\theta$

a)

$\frac{4}{5}$

b)

$-\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

10.

\sin225\degree

=_______

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{1}{\sqrt{2}}$

d)

$-\frac{1}{\sqrt{2}}$

11.

$\sin\ \frac{5\pi}{3}$ = _______

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

12.

$\cos\ \frac{5\pi}{6}$ = _______

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

13.

\cos315\degree

= ______

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{1}{\sqrt{2}}$

d)

$-\frac{1}{\sqrt{2}}$

14.

$\tan\ \frac{7\pi}{6}$ = _____

a)

$\frac{1}{\sqrt{3}}$

b)

$-\frac{1}{\sqrt{3}}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

15.

\sin90\degree

= ______

a)

0

b)

1

c)

-1

d)

does not exist

16.

a)

A

b)

B

c)

C

d)

D

17.

If θ is an angle in Quadrant I, which trig ratios will be positive

a)

sin θ

b)

cos θ

c)

tan θ

d)

All the above (sin θ, cos θ, tan θ)

18.

If θ is an angle in Quadrant IV, which trig ratios will be positive

a)

sin θ

b)

cos θ

c)

tan θ

d)

cos θ and tan θ

19.

Using reference angles find csc 330^o.

a)

-2

b)

2

c)

1

d)

-1

20.

Using reference angles find the cot 120^o.

a)

-√3/3

b)

√3/3

c)

2

d)

-2

21.

Find a coterminal angle to -180 degrees.

a)

180

b)

90

c)

270

d)

360

22.

Which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

23.

What is the degree equivalent to -135^o

a)

225^o

b)

215^o

c)

235^o

d)

45^o

24.

Formula [Reference angle = Actual angle - 180] is for

a)

quadrant 1

b)

quadrant 2

c)

quadrant 3

d)

quadrant 4

25.

What is the reference angle for -30 degrees?

a)

150 degrees

b)

30 degrees

c)

80 degrees

d)

60 degrees

26.

What is sin(-660)?

a)

root(3)/2

b)

1/2

c)

-1/2

d)

1

27.

What is sin(300)?

a)

1/2

b)

-1/2

c)

root(3)/2

d)

-root(3)/2

28.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

29.

In which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

30.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

31.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

32.

-500^o is in which quadrant?

a)

I

b)

II

c)

III

d)

IV

33.

In what quadrant is -285°?

a)

I

b)

II

c)

III

d)

IV

34.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

35.

What is the reference angle for 63°?

a)

117°

b)

207°

c)

63°

d)

153°

36.

What is positive in Q4?

a)

all trig functions

b)

sine

c)

cosine

d)

tangent

37.

What is positive in Q3?

a)

all trig functions

b)

sine

c)

cosine

d)

tangent

38.

What is positive in Q2?

a)

all trig functions

b)

sine

c)

cosine

d)

tangent

39.

What is positive in Q1?

a)

all trig functions

b)

sine

c)

cosine

d)

tangent

40.

Find the reference angle of the angle shown below:

a)

A

b)

B

c)

C

d)

D

41.

Find the reference angle of the angle shown below:

a)

A

b)

B

c)

C

d)

D

42.

Find the reference angle of the angle shown below:

a)

A

b)

B

c)

C

d)

D

43.

Find the reference angle of the angle shown below:

a)

A

b)

B

c)

C

d)

D

44.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

45.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

46.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

47.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

48.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

49.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

50.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

51.

Find the exact value of the trig function shown in the image

a)

A

b)

B

c)

C

d)

D

52.

Use a calculator to evaluate:

$\csc\left(240\degree\ \right)$

Round answer to 4 decimal places

53.

Use a calculator to evaluate:

$\cot\left(\frac{\ -4\pi}{3}\right)$

Round answer to 4 decimal places

54.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

cos 135

a)

$45$

b)

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

c)

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

d)

-45

55.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

tan (-30)

a)

30

b)

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

c)

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

d)

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

56.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

sin 480

a)

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

b)

60

c)

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

d)

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

57.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

cos 720

a)

0

b)

1

c)

-1

58.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

$\cos\frac{7\pi}{4}$

a)

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

b)

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

c)

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

d)

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

59.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

\sin\left(-\frac{\pi}{2}\right)

a)

1

b)

0

c)

-1

60.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

$\tan\left(-\frac{10\pi}{3}\right)$

a)

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

b)

$-\sqrt{3}$

c)

$\sqrt{3}$

d)

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

61.

Evaluate the trigonometric function without using a calculator. Angles are given in degrees.

$\tan\ \frac{16\pi}{3}$

a)

$\sqrt{3}$

b)

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

c)

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

d)

$-\sqrt{3}$

62.

Use a calculator to evaluate the trigonometric function of the angle given in degrees. Round to the nearest hundredths place.

sin 132

a)

0.7431

b)

0.743

c)

0.744

d)

0.74

63.

Use a calculator to evaluate the trigonometric function of the angle given in degrees. Round to the nearest hundredths place.

cos (-203)

a)

0.921

b)

-0.920

c)

-0.921

d)

-0.92

64.

$\sin\ \left(\frac{5}{8}\pi\right)$

Use a calculator to evaluate the trigonometric function of the angle given in radians. Round to the nearest hundredths place.

a)

0.923

b)

0.034

c)

0.924

d)

0.0343

65.

$\cos\left(1.2\pi\right)$

Use a calculator to evaluate the trigonometric function of the angle given in degrees. Round to the nearest hundredths place.

a)

0.997

b)

-0.809

c)

0.809

d)

0.998

66.

Using $\left(2,\ -3\sqrt{2}\right)$ as the terminal side, what is $\sec\left(\theta\right)$ ?

a)

$\frac{\sqrt{22}}{11}$

b)

$\frac{\sqrt{22}}{2}$

c)

$-\frac{3\sqrt{11}}{11}$

d)

$-\frac{\sqrt{11}}{3}$

67.

The special right triangles are:

a)

A right triangle with two acute angles

b)

A right triangle with an acute angle of 30 degrees.

c)

A right triangle with an acute angle of 45 degrees.

d)

A right triangle with an acute angle of 60 degrees.

e)

A right triangle with an acute angle of 90 degrees.

68.

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places.

\csc\left(\frac{2\pi}{9}\right)

a)

0.6428

b)

0.7660

c)

0.9999

d)

1.5557

69.

Convert the given angle measure from radians to degrees. Round to three decimal places.

5.07

a)

$0.088\degree$

b)

$290.490\degree$

c)

$580.979\degree$

d)

$145.245\degree$

70.

a)

$-\frac{25}{7}$

b)

$\frac{25}{7}$

c)

$-\frac{7}{25}$

d)

$\frac{7}{25}$

71.

Evaluate the trigonometric function.

\sin\left(\frac{-14\pi}{3}\right)

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

72.

Rewrite the given angle in radian measure.

-60\degree

a)

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

b)

$-\pi$

c)

$-\frac{\pi}{6}$

d)

$-\frac{\pi}{3}$

73.

Use a calculator to evaluate the trig function. Round your answer to 4 decimal places.

tan 10.7

a)

0.1857

b)

-0.9566

c)

-0.2913

d)

3.2841

74.

Use a calculator to evaluate the trig function. Round your answer to 4 decimal places.

\cos\left(-\frac{7\pi}{5}\right)

a)

0.9511

b)

-0.3090

c)

-0.0767

d)

1.0515

75.

Determine the quadrant in which the angle lies.

\frac{3\pi}{4}

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

76.

Determine the quadrant in which the angle lies.
$-135\degree$

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

77.

Use a calculator to evaluate the trig function. Round your answer to 4 decimal places.

$\cot\left(-\frac{2\pi}{9}\right)$

a)

-0.0122

b)

-0.8391

c)

0.9999

d)

-1.1918

78.

Which of the following are trig functions for the terminal side passing through the point (-3,4)?

SELECT ALL THAT APPLY

a)

$\tan\theta\ =\frac{\ -4}{3}$

b)

$\cot\theta\ =\frac{\ -4}{3}$

c)

$\sec\theta\ =\frac{\ -5}{3}$

d)

$\csc\theta\ =\frac{\ -5}{4}$

79.

Which of the following are trig functions for the terminal side passing through the point (-4,3)?

SELECT ALL THAT APPLY

a)

$\tan\theta\ =\frac{\ -4}{3}$

b)

$\cot\theta\ =\frac{\ -3}{4}$

c)

$\sec\theta\ =\frac{\ -5}{4}$

d)

$\csc\theta\ =\frac{\ -5}{3}$

80.

Which of the following are trig functions for the terminal side passing through the point (-4,-3)?

SELECT ALL THAT APPLY

a)

$\tan\theta\ =\frac{\ 3}{4}$

b)

$\cot\theta\ =\frac{\ -3}{4}$

c)

$\sec\theta\ =\frac{\ -5}{4}$

d)

$\csc\theta\ =\frac{\ -5}{3}$

81.

Which of the following are trig functions for the terminal side passing through the point (5,12)?

SELECT ALL THAT APPLY

a)

$\tan\theta\ =\frac{\ 12}{5}$

b)

$\cot\theta\ =\frac{\ 5}{12}$

c)

$\sec\theta\ =\frac{\ -5}{13}$

d)

$\csc\theta\ =\frac{\ -12}{13}$

82.

Which of the following are trig functions for the terminal side passing through the point (6,-8)?

SELECT ALL THAT APPLY

a)

$\tan\theta\ =\ \frac{\ -4}{3}$

b)

$\cot\theta\ =\ \frac{\ -3}{4}$

c)

$\sec\theta\ =\ \frac{\ 3}{5}$

d)

$\csc\theta\ =\frac{\ -4}{5}$

10.2 Quiz Review

Total questions: 82

Worksheet time: 1hrs 10mins

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