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Chapter 5 Review. Check out your clicker 1.I really like math 2.Statistics would be better 3.I want...
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Transcript of Chapter 5 Review. Check out your clicker 1.I really like math 2.Statistics would be better 3.I want...
Check out your clicker
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
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