Free Printable Chapter 10 TEST Review

1.

Find the reference angle for an angle measuring -300⁰

a)

60⁰

b)

-60⁰

c)

30⁰

d)

45⁰

2.

Find a coterminal angle to 45 degrees.

a)

360

b)

405

c)

315

d)

295

3.

Which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

4.

What is the reference angle for 30 degrees?

a)

70 degrees

b)

30 degrees

c)

150 degrees

d)

330 degrees

5.

What is the sin(120)?

a)

-1/2

b)

1/2

c)

-root(3)/2

d)

root(3)/2

6.

What is cos(810)?

a)

1/2

b)

1

c)

0

d)

-1

7.

What are the negative and positive coterminal angles of -225°?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

8.

What are the negative and positive coterminal angles of 240°?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

9.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

10.

Standard position is when .....

a)

the initial side of the angle is on the positive x-axis.

b)

the initial side of the angle is on the negative x-axis.

c)

the initial side of the angle is on the positive y-axis.

d)

the initial side of the angle is on the negative y-axis.

11.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

12.

What is the reference angle?

a)

43

b)

-43

c)

47

d)

-47

13.

Which is a coterminal angle to the angle shown?

a)

831

b)

832

c)

833

d)

834

14.

Which is a coterminal angle to the angle shown?

a)

-215

b)

215

c)

225

d)

-225

15.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

16.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

17.

Where does the graph of y=sin(x) begin its first cycle?

a)

(0,0)

b)

(1,0)

c)

(0,Pi)

d)

(1, Pi)

18.

Where does the graph of cosine begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

19.

Cos 90°

a)

-1

b)

1

c)

undefined

d)

0

20.

Sin 270°

a)

0

b)

-1

c)

1

d)

-2

21.

Based on your unit circle sin(0^o)=

a)

1

b)

-1

c)

0

d)

1/2

22.

What is the domain and range of y=sinx?

a)

D: (-∞, ∞)
R: [-1, 1]

b)

D: (-∞, ∞)
R: [-π, π]

c)

D: (∞, -∞)
R: [1, -1]

d)

D: (-∞, ∞)
R: [-∞, ∞]

23.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

24.

What is sin 90°?

a)

1

b)

0

c)

undefined

d)

½

25.

What is sin 30°?

a)

^√3/₂

b)

1

c)

½

d)

^√2/₂

26.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

27.

What is the value of cosine at 135

a)

0

b)

1/2

c)

√2 /2

d)

-√2 /2

28.

What is the value of sine at 210?

a)

1/2

b)

-1/2

c)

√3 / 2

d)

-√3 / 2

29.

At what point are sine and cosine the same value?

a)

0

b)

90

c)

45

d)

60

30.

What is the value of sine at 150

a)

0

b)

1/2

c)

1

d)

√3 / 2

31.

What is the rule for a 45-45-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

32.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

33.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

34.

What is the rule for a 3-60-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

35.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

36.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

37.

a)

a=√6 b=√2

b)

a=4 b=2

c)

a=√6 b=2

d)

a=2 b4

38.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

39.

The set of all possible x-values

a)

Domain

b)

Range

c)

Interval Notation

d)

Inequality Notation

40.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

41.

Solve for n:
2³ⁿ = 4

a)

2

b)

3

c)

2/3

d)

4

42.

Evaluate log₄1

a)

1

b)

0

c)

4

d)

undefined

43.

Without a calculator, evaluate log₄1

a)

¹/₄

b)

0

c)

-1

d)

not possible

44.

log_⅓(¹/₈₁)

a)

1/4

b)

-4

c)

4

d)

-1/4

45.

log₂₅(5)

a)

1/2

b)

2

c)

-2

d)

1/5

46.

log1000

a)

10

b)

2

c)

3

d)

100

47.

log₄(¹/₁₆)

a)

2

b)

-1/2

c)

1/2

d)

-2

48.

2^log₂9x

a)

2^9x

b)

x

c)

9

d)

9x

49.

e^ln7

a)

log_e7

b)

7

c)

ln7

d)

e⁷

50.

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

a)

w = h^d

b)

w^d = h

c)

h = w^d

d)

h^w = d

51.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

52.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

53.

What is 4π/3 radians in degrees?

a)

120

b)

240

c)

210

d)

270

54.

What is 0 degrees in radians?

a)

2π

b)

0

c)

π

d)

π/2

55.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

56.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

57.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

58.

Find the measure of the angle, in radians.

a)

$\frac{\pi}{4}$

b)

$2\pi$

c)

$\frac{\pi}{2}$

d)

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

59.

Find the measure of the angle

a)

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

b)

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

c)

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

d)

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

60.

Select the correct sketch of the angle in standard position: $\frac{7\pi}{4}$

a)

b)

c)

d)

61.

Select the correct sketch of the angle in standard position: $\frac{7\pi}{4}$

a)

b)

c)

d)

62.

Solve for x

a)

1/3

b)

-5.5

c)

5.5

d)

2.5

63.

Solve the equation for x.

a)

7

b)

6

c)

14

d)

0

64.

a)

A

b)

B

c)

C

d)

D

65.

Look at YOUR unit circle. What is the reference angle for $\frac{4\pi}{3}$ ?

Reference angle = (a)

Choose from the below words

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

$\frac{\pi}{2}$

66.

Unlike right triangle trigonometry, sine and cosine may be negative.

Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where:

sine is positive: (a) & (b)

sine is negative: (c) & (d)

Choose from the below words

I

II

III

IV

67.

Unlike right triangle trigonometry, sine and cosine may be negative.

Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where:

cosine is positive: (a) & (b)

cosine is negative: (c) & (d)

Choose from the below words

I

IV

II

III

68.

Unlike right triangle trigonometry, sine and cosine may be negative.

Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where:

tangent is positive: (a) & (b)

tangent is negative: (c) & (d)

Choose from the below words

I

III

II

IV

69.

Suppose you know that for a particular angle, $\cos\theta=\frac{4}{5}$ . The related triangle is shown.

Given that the missing side has length 3,

$\sin\theta=$ (a)

Choose from the below words

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{3}{4}$

$\frac{5}{3}$

$\frac{5}{4}$

$\frac{4}{3}$

70.

cot 450^o

a)

0

b)

1

c)

-1

d)

und

71.

Evaluate cos(225°)

a)

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

b)

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

c)

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

d)

$-\frac{1}{2}$

72.

Evaluate cos(-135°)

a)

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

b)

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

c)

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

d)

$-\frac{1}{2}$

73.

sin 150

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

74.

Identify the angle of rotation

a)

$-110\degree$

b)

$110\degree$

c)

$250\degree$

d)

$20\degree$

75.

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

a)

y

b)

x

c)

x/y

d)

y/x

76.

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

a)

y

b)

x

c)

x/y

d)

y/x

77.

The __________ represents half the distance between the max and min of a sine or cosine graph.

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

78.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

79.

Phase shift means ...

a)

An up or down movement

b)

A left or right movement

c)

Height of graph

d)

...set Phasers to stun

80.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = sin x

c)

y = 2 sin x

d)

y = sin 2x

81.

What is the amplitude of the graph?

a)

-2

b)

2

c)

4

d)

-4

82.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

83.

What does a negative A value cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

84.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

85.

What is the equation of the graph shown?

a)

y=1/2cos2x

b)

y=1/2sin4x

c)

y=1/2cos4x

d)

y=4cos1/2x

86.

What is the vertical shift for
y = 4cos(0.5x +pi) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

87.

What is the equation of the graph?

a)

y = -2 cos x - 3

b)

y = 3 cos x - 2

c)

y = -7 cos x - 3

d)

y = -3 cos x - 4

88.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

Chapter 10 TEST Review

Total questions: 90

Worksheet time: 8hrs 30mins

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