Free Printable Trig test prac

1.

sin (π/2)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

2.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

3.

cos(π)

a)

√3/2

b)

-√2/2

c)

-1

d)

1

4.

cos(5π/3)

a)

-√2/2

b)

-1/2

c)

1/2

d)

√3/2

5.

tan(3π/4)

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

6.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

7.

cos(30^o)

a)

- ½

b)

√3/2

c)

2√3 /3

d)

½

8.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

9.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

10.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

11.

Choose the best match for the graph.

a)

45^o

b)

90^o

c)

135^o

d)

180^o

12.

What is the angle measure, in degrees, at the red marking on the unit circle?

a)

30°

b)

45°

c)

60°

d)

90°

13.

What is the value of θ, theta, in degrees on the unit circle?

a)

30°

b)

45°

c)

60°

d)

90°

14.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

15.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

16.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

17.

sin(11π/6)

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

18.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

19.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

20.

Find cos(600°)

a)

(-1/2)

b)

(-√3/2)

c)

(√3/2)

d)

(√2/2)

21.

Find a coterminal angle to 0 degrees.

a)

360⁰

b)

180⁰

c)

90⁰

d)

270⁰

22.

Find a coterminal angle to 100 degrees.

a)

820

b)

720

c)

360

d)

390

23.

Which of the following is a negative coterminal angle of 165 degrees?

a)

-165

b)

525

c)

-525

d)

-555

24.

What quadrant is 285 degrees in?

a)

I

b)

II

c)

III

d)

IV

25.

Find a coterminal angle to 45 degrees.

a)

360

b)

405

c)

315

d)

295

26.

What are co-terminal angles?

a)

angles that share the same terminal side

b)

angles that are supplementary

c)

angles that are complimentary

d)

angles that are opposite each other

27.

Find an angle coterminal with 46°

a)

-314°

b)

226°

c)

-46°

d)

446°

28.

Find an angle coterminal with -32°

a)

32°

b)

360°

c)

328°

d)

148°

29.

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

a)

1

b)

2

c)

3

d)

4

30.

Find the reference angle for an angle measuring θ = -310⁰

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

31.

When the rotation from initial to terminal side is counterclockwise this describes.

a)

Positive Angle

b)

Negative Angle

32.

What is the reference angle for 125 degrees?

a)

235 degrees

b)

125 degrees

c)

75 degrees

d)

55 degrees

33.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

34.

If an angle is rotated x degrees and the terminal point is (5, -12), then what is the value of sinx?

a)

12/13

b)

-12/13

c)

5/13

d)

-12/5

35.

If an angle is rotated x degrees and the terminal point is (5, -12), then what is the value of cosx?

a)

5/13

b)

-12/5

c)

-13/12

d)

13/5

36.

If an angle is rotated x degrees and the terminal point is (5, -12), then what is the value of tanx?

a)

12/5

b)

5/12

c)

-12/5

d)

-5/12

37.

If an angle is rotated x degrees and the terminal point is (-3,4), then what is the value of sinx?

a)

-3/5

b)

4/5

c)

-4/3

d)

5/4

38.

If an angle is rotated x degrees and the terminal point is (-3,4), then what is the value of secx

a)

-5/4

b)

-4/3

c)

5/4

d)

-5/3

39.

If an angle is rotated x degrees and the terminal point is (-3,4), then what is the value of cotx

a)

-3/4

b)

-4/3

c)

4/5

d)

-3/5

40.

If an angle is rotated x degrees and the terminal point is (-5,-5), then what is the value of tanx?

a)

-1

b)

1

c)

√2

d)

-√2

41.

If an angle is rotated x degrees and the terminal point is (-5,-5), then what is the value of sinx?

a)

-√2/2

b)

-√2

c)

-1

d)

1

42.

If an angle is rotated x degrees and the terminal point is (-5,-5), then what is the value of cscx?

a)

-√2/2

b)

-√2

c)

-5

d)

1

43.

What is 11π/6 radians in degrees?

a)

30⁰

b)

330⁰

c)

360⁰

d)

300⁰

44.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

45.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

46.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

47.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

48.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

49.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

50.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

55.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

56.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

57.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

58.

Choose the correct ratio.

a)

cos(57)=x/20

b)

sin(57)=x/20

c)

cos(57)=20/x

d)

sin(57)=20/x

59.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

60.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

61.

a)

A

b)

B

c)

C

d)

D

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

68.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

69.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

70.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

71.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

72.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

73.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

74.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

75.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

76.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

77.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

78.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

79.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

80.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

81.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

82.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

83.

Use trig ratios (SOH CAH TOA) to set up an equation and solve for x.

a)

5.0

b)

6.1

c)

7.7

d)

6.4

84.

Name the quadrant where tangent is negative and cosine is also negative. (Hint: use the A-S-T-C mnemonic)

a)

I

b)

II

c)

III

d)

IV

85.

What is 2π/9 in degrees?

a)

20º

b)

40⁰

c)

18⁰

d)

none of these

86.

Let (-4, 3) be a point on the terminal side of θ. Which of the following statements is TRUE?

(Hint: draw ref. triangle and label sides)

a)

cos θ = 4/5

b)

cot θ = -3/4

c)

sin θ = 3/5

d)

none of these are true

87.

Find cos(150) =

(Hint: sketch angle and ref. triangle - need to label sides of special rt. triangle)

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

88.

Find tan(330)

(Hint: sketch angle and ref. triangle - need to label sides of special rt. triangle)

a)

-√3

b)

√3

c)

-√3/3

d)

√3/3

89.

Find cot (135)

(Hint: sketch angle and ref. triangle - need to label sides of special rt. triangle)

a)

√2/2

b)

- √2/2

c)

1

d)

-1

90.

Let cosθ = 8/17, where sinθ < 0.

Find the exact value of tanθ.

(Hint: Pick Quadrant,

then draw and label triangle)

a)

15/8

b)

8/15

c)

-8/15

d)

-15/8

91.

Use trig ratios (SOH CAH TOA) to write an equation and solve for x.

a)

12.1

b)

7.2

c)

6.0

d)

8.9

92.

Find the exact value of sin θ.

a)

4√5

b)

√5/3

c)

√5/2

d)

cannot be determined

93.

A 40 foot tall street lamp casts a shadow of 56 feet on the ground. What is the angle of elevation to the top of the lamp? Round to the nearest degree.

Draw a picture!!!

a)

54º

b)

36º

c)

46º

d)

44º

94.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

95.

What is the reference angle for 275 degrees?

a)

85 degrees

b)

5 degrees

c)

-85 degrees

d)

-5 degrees

96.

What is the reference angle for 125 degrees?

a)

235 degrees

b)

125 degrees

c)

75 degrees

d)

55 degrees

97.

Which angle below is coterminal to 100⁰

a)

260

b)

80

c)

460

d)

-460

98.

Find the measure of the missing angle to the nearest degree.

a)

49^o

b)

57^o

c)

41^o

d)

33^o

99.

Find the measure of the missing angle to the nearest degree.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

100.

The point (-3,7) lies on the terminal side of an angle. Find the csc θ.

a)

√58/7

b)

(7√58)/58

c)

-√58/3

d)

(-3√58)/58

101.

Find sin(210)

(Hint: sketch angle and ref. triangle - need to label sides of special rt. triangle)

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

102.

What are the negative and positive co-terminal angles of 240 degrees?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

103.

sin[arcsin( $\frac{1}{2}$ )]

a)

$\frac{\pi}{6}$

b)

$\frac{1}{2}$

c)

$60\degree$

d)

no solution

104.

arccos[cos( $\frac{7\pi}{4}$ )]

a)

$\frac{\pi}{4}$

b)

$-\frac{\pi}{4}$

c)

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

d)

$\frac{3\pi}{4}$

105.

tan[arctan(10)]

a)

no solution

b)

-10

c)

$\frac{1}{10}$

d)

10

106.

arcsin[sin( $\frac{4\pi}{3}$ )]

a)

$\frac{\pi}{3}$

b)

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

c)

$\frac{4\pi}{3}$

d)

$\frac{5\pi}{3}$

107.

cos[arccos(-2)]

a)

-2

b)

no solution

c)

2

d)

$\frac{1}{2}$

108.

arcsin[sin( $\frac{\pi}{6}$ )]

a)

$\frac{1}{2}$

b)

$\frac{\pi}{6}$

c)

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

d)

no solution

109.

arccos[cos( $\frac{2\pi}{3}$ )]

a)

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

b)

$\frac{\pi}{3}$

c)

$\frac{1}{2}$

d)

no solution

110.

arctan[tan( $\frac{5\pi}{4}$ )]

a)

$-\frac{\pi}{4}$

b)

$\frac{\pi}{4}$

c)

$\frac{5\pi}{4}$

d)

$\frac{3\pi}{4}$

111.

cos[arccos( $\frac{1}{3}$ )]

a)

3

b)

$\frac{1}{3}$

c)

-3

d)

no solution

112.

sin[arcsin(0.11)]

a)

no solution

b)

11

c)

0.11

d)

-0.11

113.

arcsin[sin( $\frac{\pi}{3}$ )]

a)

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

b)

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

c)

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

d)

$\frac{\pi}{3}$

114.

arccos[cos( $\frac{11\pi}{6}$ )]

a)

$\frac{5\pi}{6}$

b)

$\frac{\pi}{6}$

c)

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

d)

$\frac{7\pi}{6}$

115.

arctan[tan( $\frac{2\pi}{3}$ )]

a)

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

b)

$\frac{\pi}{3}$

c)

$\frac{5\pi}{3}$

d)

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

116.

Which equation is true?

a)

sin (x) = 14/29

b)

cos (x) = 14/29

c)

tan (x) = 14/29

d)

tan (x) = 29/14

117.

Which equation is true?

a)

sin (x) = 11/27

b)

sin (x) = 27/11

c)

cos (x) = 11/27

d)

tan (x) = 11/27

118.

Which equation is true?

a)

sin (x) = 6/8

b)

cos (x) = 8/6

c)

cos (x) = 6/8

d)

tan (x) = 6/8

119.

Which equation would you use to solve for the unknown angle?

a)

x = sin^–1(4/5)

b)

x = cos^–1(4/5)

c)

x = cos^–1(5/4)

d)

x = tan^–1(4/5)

120.

Which equation would you use to solve for the unknown angle?

a)

x = tan^–1(24/7)

b)

x = tan^–1(7/24)

c)

x = tan^–1(25/7)

d)

x = tan^–1(7/25)

121.

Which equation could be used to solve for the unknown angle?

a)

x =sin^–1(25/24)

b)

x = sin^–1(24/25)

c)

x = sin^–1(25/7)

d)

x = sin^–1(7/25)

122.

Which equation would you use to solve for the unknown angle?

a)

x =tan^–1(51/85)

b)

x = tan^–1(85/51)

c)

x = tan^–1(51/68)

d)

x = tan^–1(68/51)

123.

Which equation would you use to solve for the unknown angle?

a)

x = sin^–1(56/70)

b)

x = sin^–1(70/56)

c)

x = sin^–1(70/42)

d)

x = sin^–1(42/70)

124.

Solve for x.

a)

x = 90º

b)

x = 60º

c)

x = 45º

d)

x = 30º

125.

The ratio in a right triangle of opposite to adjacent side is _____

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

126.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)

a)

$45\degree$

b)

$60\degree$

c)

$90\degree$

d)

$0\degree$

127.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\cos^{-1}\left(0\right)

a)

$45\degree$

b)

$60\degree$

c)

$90\degree$

d)

$0\degree$

128.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\tan^{-1}\left(\sqrt{3}\right)

a)

$45\degree$

b)

$60\degree$

c)

$30\degree$

d)

$0\degree$

129.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)

a)

$45\degree$

b)

$60\degree$

c)

$30\degree$

d)

$0\degree$

130.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\sin\left(\sin^{-1}\left(\frac{1}{2}\right)\right)

a)

$30\degree$

b)

$60\degree$

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

131.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\tan\left(\sin^{-1}\left(\frac{1}{2}\right)\right)

a)

$\sqrt{3}$

b)

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

c)

$\frac{1}{2}$

d)

$1$

132.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\sin\left(\cos^{-1}\left(0\right)\right)

a)

$0$

b)

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

c)

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

d)

$1$

133.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\csc\left(\sin^{-1}\left(1\right)\right)

a)

$1$

b)

$0$

c)

$90\degree$

d)

undefined

134.

Find the value of the following expression. Assume that all angles are in Quadrant I.

\tan\left(\cos^{-1}\left(\frac{4}{5}\right)\right)

a)

$\frac{4}{5}$

b)

$\frac{3}{4}$

c)

$\frac{5}{4}$

d)

$\frac{4}{3}$

Trig test prac

Total questions: 134

Worksheet time: 8hrs 1mins

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