Free Printable Chapter 4 Review

1.

What is the sine of angle C?

a)

7/24

b)

7/25

c)

24/25

d)

25/24

2.

What is the cosine of θ?

a)

15/8

b)

15/17

c)

17/15

d)

8/15

3.

What is the tangent of angle C?

a)

7/25

b)

25/7

c)

7/24

d)

24/7

4.

What is the cosecant of angle C?

a)

25/24

b)

25/7

c)

7/24

d)

24/7

5.

What is the secant of θ?

a)

8/15

b)

17/15

c)

17/8

d)

15/17

6.

What is the cotangent of angle C?

a)

7/24

b)

25/24

c)

7/25

d)

24/7

7.

What is the sine of A?

a)

7√65∕65

b)

7/65

c)

√7/65

d)

√65/7

8.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

9.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

10.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

11.

A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute. What is the angular speed in radians per hour?

a)

90π rad / 1 hr

b)

2700π rad / 1 hr

c)

5400π rad / 1 hr

d)

97200π rad / 1 hr

12.

A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute. What is the linear speed in feet per hour?

a)

90π ft / 1 hr

b)

2700π ft / 1 hr

c)

5400π ft / 1 hr

d)

4050π ft / 1 hr

13.

A spin balancer rotates the wheel of a car at 500 revolutions per minute. If the diameter of the wheel is 26 inches, what road speed is being tested?

a)

12.31π mi / 1 hr

b)

12.09π mi / 1 hr

c)

13. 44π mi / 1 hr

d)

24.62π mi / 1 hr

14.

A spin balancer rotates the wheel of a car at 500 revolutions per minute. If the diameter of the wheel is 26 inches, what is the angular speed in degrees per second?

a)

16.67 deg / sec

b)

6,000 deg / 1 sec

c)

3,000 deg / 1 sec

d)

180,000 deg / 1 sec

15.

What is $225\degree$ in radians?

a)

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

b)

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

c)

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

d)

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

16.

What is $\frac{11\pi}{6}$ radians in degrees?

a)

30

b)

330

c)

360

d)

300

17.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

18.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

19.

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

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

20.

Find the area of each shaded sector. Use $\pi$ key to calculate. Round to the nearest hundredths.

(a)

21.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

22.

What is the reference angle for -310⁰?

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

23.

What is the reference angle for 2pi/3

a)

pi/4

b)

7pi/6

c)

4pi/3

d)

pi/3

24.

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.

25.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

26.

Positive angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

27.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

28.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

29.

cot 3π/4

a)

-√2/2

b)

-1

c)

1

d)

√2/2

30.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

31.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

32.

What is the value of cosine at 0

a)

0

b)

1/2

c)

1

d)

√3 / 2

33.

Write the equation for a sine function with an amplitude of 6 and a period of $\frac{\pi}{4}$ .

a)

$y=6\sin8\theta$

b)

$y=6\sin8\left(\theta-1\right)$

c)

$y=6\sin\ \frac{1}{4}\theta$

d)

$y=6\sin\theta$

34.

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

a)

(0,0)

b)

(1,0)

c)

(0,Pi)

d)

(1, Pi)

35.

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

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

36.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

37.

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

38.

What is the amplitude of this function?

a)

2

b)

2π

c)

-2

d)

1

39.

What is the period for

y = 4 cos(x +π) - 2?

(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

a)

2

b)

-2

c)

$2\pi$

d)

$\pi$

40.

Phase shift means ...

a)

An up or down movement

b)

A left or right movement

c)

Height of graph

d)

...set Phasers to stun

41.

What is the vertical shift for

y = 4 cos(x +π) - 2?

(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

a)

up 2

b)

left 2

c)

right 2

d)

down 2

42.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

a)

A

b)

B

c)

C

d)

D

45.

a)

A

b)

B

c)

C

d)

D

46.

Evaluate the function: arcsin(-1/2)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

47.

Evaluate: cos^-1(√3/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

48.

sin^-1(-1/2)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

49.

tan(sin^-1(-1/2))

a)

√3

b)

√3/3

c)

-√3

d)

-√3/3

50.

cos^-1(√(3)/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

51.

tan^-1(√(3))

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

52.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

53.

Find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

54.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

55.

What is the measure of angle A?

a)

58 degrees

b)

61 degrees

c)

78 degrees

d)

74 degrees

56.

Using Heron's Formula, find the Area.

a)

56

b)

28

c)

24.2

d)

104.4

57.

Using Heron's Formula, find the Area.

a)

35

b)

49

c)

28.9

d)

27.8

Chapter 4 Review

Total questions: 57

Worksheet time: 14hrs 15mins

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