Chapter 5

Review

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I re

ally

like

mat

h

Sta

tistic

s would

be

be...

I w

ant a

n A

I hav

e Sen

ior-i

t is

Are

we

done ye

t?

14%

0%

24%

33%

29%1. I really like math

2. Statistics would be better

3. I want an A

4. I have Senior-it is

5. Are we done yet?

161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180

181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200

Identify the Following Angle

0%

95%

5%0%

1. Straight

2. Right

3. Obtuse

4. Acute

Which quadrant contains the terminal side of angle that has a sine < 0 and Tan < 0

I II III

IV

10%

62%

24%

5%

1. I

2. II

3. III

4. IV

In which quadrant is the terminal side of

Quad

rant I

Quad

rant I

I

Quad

rant I

II

Quad

rant I

V

71%

10%10%10%

280o1. Quadrant I

2. Quadrant II

3. Quadrant III

4. Quadrant IV

Which angle is co-terminal with an angle that has a

radian measure of

30

degre

es

120

deg

rees

-120

deg

rees

60

degre

es

-60

degre

es

5%

67%

10%

0%

19%

3

4

1. 30 degrees

2. 120 degrees

3. -120 degrees

4. 60 degrees

5. -60 degrees

Convert the following from degrees to radians

1.42

2.92

1.92

2.42

0% 0%

95%

5%

1100

1. 1.420

2. 2.920

3. 1.920

4. 2.420

A bicycle wheel with a radius of 13 inches makes 2.4 revolutions per second. What is the speed of

the bicycle?

392

.1 in

/sec

ond

62.

4 in

/sec

ond

127

4.2

in/s

econd

196

.0 in

/sec

ond

0%

90%

5%5%

1. 392.1 in/second

2. 62.4 in/second

3. 1274.2 in/second

4. 196.0 in/second

A lumber mill has a circular saw blade that rotates with an angular velocity of 80 pi radians per second. The diameter of the blade is 4

feet. Determine the linear speed ( feet per second ) of the edge of the saw blade

320

pi f

eet p

er s

econd

160

pi f

eet p

er s

econd

40

pi fe

et p

er s

econd

4 p

i fee

t per

sec

ond

320

feet

per

sec

ond

35%

55%

5%0%

5%

1. 320 pi feet per second

2. 160 pi feet per second

3. 40 pi feet per second

4. 4 pi feet per second

5. 320 feet per second

Find the ratio for the given angle and give its value

a

b

Tan

Cos

Cot

Sin

91%

5%0%

5%0%

60 30 1. Tan

2. Cos

3. Cot

4. Sin

a

b

c

60

601

20

601

20

603

20

Use trigonometric identities to determine the value of

Cot B

Sin

B

Tan

B 1

0%

100%

0%0%

sec cos 1. Cot B

2. Sin B

3. Tan B

4. 1

A 12 foot ladder makes an angle of 54 degrees with the ground as it leans against the wall. How high up the

wall is the top of the ladder?

16.

52 ft

9.7

1 ft

14.

83 ft

7.0

5 ft

5% 0%0%

95%1. 16.52 ft

2. 9.71 ft

3. 14.83 ft

4. 7.05 ft

You are standing on flat ground looking at a building that is 500 feet tall that has a flagpole attached to its top. From your position, the angle of

elevation to the base of the flagpole is 30 degrees, and the angle of elevation to the top of the flagpole is 32 degrees. How high is the

flagpole?

41.

2 fe

et

234

.4 fe

et

541

.3 fe

et

161

.9 fe

et

35.

6 fe

et

62%

5%

29%

0%5%

1. 41.2 feet

2. 234.4 feet

3. 541.3 feet

4. 161.9 feet

5. 35.6 feet

The needle of a scale in the food department is 22 cm long. Find the distance it travels when the tip rotates 80

degrees.

30.

7 cm

4.9

cm

.

176

cm

15.

4 cm

94%

0%0%6%

1. 30.7 cm

2. 4.9 cm.

3. 176 cm

4. 15.4 cm

Use your calculator to evaluate

1.50

67

-0.6

302

0.94

63

-1.4

759

0% 0%

89%

11%

tan .43420

1. 1.5067

2. -0.6302

3. 0.9463

4. -1.4759

Given and Find

8

5Tan

Cos

Cos

Cos

Cos

5%

48%

29%

19%

0sin cos

1. Cos

2. Cos

3. Cos

4. Cos

8

895

89

898

89

895

89

898

Find the reference angle 15

13.'

One

Tw

o

Thre

e F

our

5%0%

90%

5%

15

171. One

2. Two

3. Three

4. Four

15

17

15

2

15

2

241 242 243 244 245 246 247 248 249 250

Find the exact value of the function)225csc( o

One

Tw

o

Thre

e F

our

100%

0%0%0%

2

3

3

3

1

1. One

2. Two

3. Three

4. Four

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80

The point given is on the terminal side of an angle in standard position. Determine the exact value of the sine of

the angle. (5, 12)

1. One

2. Two

3. Three

4. Four

13

12

One

Tw

o

Thre

e F

our

95%

0%0%5%

12

5

169

12

13

5

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80

Use a calculator to evaluate the trigonometric functions.

-0.2

018,

1.0

000

-0.2

018,

1.0

203

-1.1

918,

1.0

000

-1.1

918,

1.0

203

5%

73%

23%

0%

)2.0(sec140cot ando

1. -0.2018, 1.0000

2. -0.2018, 1.0203

3. -1.1918, 1.0000

4. -1.1918, 1.0203

121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140

141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160

Find the function shown in the graph below

Y=

4.5

sin x

y= s

in 4

.5 x

Y =

4.5

cos

x

Y=

cos

4.5

x

81%

5%0%

14%

1. Y= 4.5 sin x

2. y= sin 4.5 x

3. Y = 4.5 cos x

4. Y= cos 4.5 x

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Find a function that has the given amplitude and period

1. Y=6.5 cos

2. Y = 6.5 cos

3. Y = 3.25 cos

4. Y = 3.25 cos

3

x

Y=6

.5 c

os

Y =

6.5

cos

Y =

3.2

5 co

s

Y =

3.2

5 co

s

19%10%

0%

71%

3

x

x6

3

x

201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220

221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240

65.6 periodandamplitude

Find the graph of the function

One

Tw

o

Thre

e F

our

0% 0%0%

100%

2cos

xy

1. One

2. Two

3. Three

4. Four

1

2

3

4

201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220

221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240

A Ferris wheel has a radius of 19 feet and its center is 43 feet above the ground. The Wheel rotates at a constant angular speed of per minute. The height of a point on the Ferris wheel as a function of time is given by , where h is the height in feet and t is the time in minutes. Find the approximate value of h(t) when

t=17.5 minutes.

1. 17.9 ft

2. 25.1 ft

3. 21.4 ft

4. 59.6 ft

9

7

17.

9 ft

25.

1 ft

21.

4 ft

59.

6 ft

6% 6%11%

78%

)9

7sin(1943)(

tth

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

Graph the cosine function that has the given phase shift and vertical translation

One

Tw

o

Thre

e F

our

0% 0%0%

100%

23

4 shiftverticalandshiftphase

1. One

2. Two

3. Three

4. Four

1

2

3

4

Use a calculator to approximate the expression arcsin 0.35

0.36

0.06

2.92

163.

7

100%

0%0%0%

1. 0.36

2. 0.06

3. 2.92

4. 163.70

If possible, evaluate the expression without the aid of a calculator.

sin ( ) 1 3

2

One

Tw

o

Thre

e

Not p

ossib

le

11%

21%

58%

11%

6

4

3

1. One

2. Two

3. Three

4. Not possible

Use a Calculator to approximate the following expression arctan 0.65

88.1

44

0.57

64

0.01

13

1.31

54

0% 0%0%

100%1. 88.1436

2. 0.5764

3. 0.0113

4. 1.3154

Evaluate the expression without the aid of a calculator. arctan0

2

One

Tw

o

Thre

e F

our

0%

100%

0%0%

6 4

0

1. One

2. Two

3. Three

4. Four

An airplane is flying east at a constant altitude of 28,000 meters. When first seen to the east of an observer, the angle of elevation to the plane

is 73.6 degrees. After 47 seconds, the angle of elevation is 61.1 degrees. Find the speed of the airplane.

241

m/s

153

m/s

142

m/s

216

m/s

23%

46%

15%15%

1. 241 m/s

2. 153 m/s

3. 142 m/s

4. 216 m/s

An energy company uses one wellhead to drill several exploratory wells at different angles. They strike oil when they have drilled 3851

feet along an angle of depression of 62 degrees. Find the depth of the oil deposit.

180

8 ft

724

2 ft

436

1 ft

340

0 ft

23%

46%

23%

8%

1. 1808 ft

2. 7242 ft

3. 4361 ft

4. 3400 ft

A hiker travels at 3.2 miles per hour at a heading of S 52 degrees W from a ranger station. After 4 hours, how far

south and how far west is the hiker from the ranger station?

12.

6 m

iles

south

and...

7.9

mile

s so

uth a

nd ...

2.1

mile

s so

uth a

nd ...

10.

1 m

iles

south

and...

0% 0%0%

100%1. 12.6 miles south and 2.1 miles west

2. 7.9 miles south and 10.1 miles west

3. 2.1 miles south and 12.6 miles west

4. 10.1 miles south and 7.9 miles west

A ship leaves port at 10 miles per hour, with a heading of S 41 degrees W. There is a warning buoy located 5 miles directly north of the port.

What is the bearing of the warning buoy as seen from the ship after 4.5 hours?

1. S 52.8 degrees W

2. N 52.8 degrees E

3. S 37.2 degrees E

4. N 37.2 degrees E

A rowboat is observed from a dock as it bobs up and down in simple harmonic motion because of wave action. The boat moves from a high

point of 2.9 feet above the dock to a low point of 5.2 feet below the dock and back to its high point 5 times every minute. Let t be time, in

minutes and h be the distance below the dock, in feet. Find an equation that describes the boat’s motion

1. One

2. Two

3. Three

4. Four

h t t( ) . sin 2 32

5

h t t( ) . cos . 4 05 10 115h t t( ) . sin . 2 3 10 4 05

h t t( ) . . cos 4 05 1152

5