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WorksheetsChapter 5 Monster Review
Total questions: 40
Worksheet time: 1hrs 2mins
Name
Class
Date
1.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
2.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
3.
what is the amplitude of y=3sin(7x)-2
a)
7
b)
-2
c)
3
d)
6
4.
which value represents amplitude in the function y = asin(bx-h) + k
a)
a
b)
b
c)
h
d)
k
5.
what is the period of y= -3sinx
a)
π
b)
2π
c)
3π
d)
4π
6.
Which trig function does this graph represent?
a)
sin
b)
sec
c)
tan
d)
cot
7.
Evaluate: Cos-1(√3/2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
8.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
9.
What is an equation of the graph shown?
a)
y=cos1/2x
b)
y=cos2x
c)
y=sin 1/2 x
d)
y=sin2x
10.
What is the equation of this graph?
a)
y=cos2x
b)
y=2sin2x
c)
y=2cos2x
d)
y=2sinx
11.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
12.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
13.
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
14.
What is the phase shift?
y=-2sin(x-π)
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
15.
What is the period of this graph?
a)
2π
b)
π/2
c)
π/4
d)
π
16.
What is the period of y = 4Cos(2x)?
a)
4π
b)
π
c)
2π
d)
π/2
17.
A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
18.
A traffic helicopter spots two different accidents. One is east at an angle of depression of 35 degrees. The other is west at an angle of depression of 21 degrees. If the helicopter is 800 feet in the air, how far apart are the accidents?
a)
1142
b)
2084
c)
3226
d)
942
19.
a)
A
b)
B
c)
C
20.
Which ratio is equal to BC/AC?
a)
cos 59⁰
b)
sin 59⁰
c)
tan 59⁰
d)
cos 31⁰
21.
What ratio is equal to sin 59⁰?
a)
AB/AC
b)
AB/BC
c)
BC/AC
d)
AC/AB
22.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
23.
What is 225 degrees in radians?
a)
7π/4
b)
5π/4
c)
3π/4
d)
5π/3
24.
What is 2π/3 radians in degrees?
a)
150
b)
120
c)
180
d)
30
25.
What is 11π/6 radians in degrees?
a)
30
b)
330
c)
360
d)
300
26.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
27.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
28.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
29.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
30.
Angles whose measure sum up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
31.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
32.
a)
x = 10/ sin(40)
b)
x = 10 * cos(40)
c)
x = 10 * sin(40)
d)
x = 10/ cos(40)
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 are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
35.
Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
36.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
37.
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
38.
Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.
a)
0.3 square units
b)
15.7 square units
c)
19.7 square units
d)
50.3 square units
39.
What is the difference between y = sinx and y = 4sinx when graphed?
a)
a period change
b)
an amplitude change
c)
a phase shift
d)
no difference in graphs
40.
Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.
a)
y = 5cos(x - pi) + 3
b)
y = 3cos(x - pi) + 5
c)
y = 3cos(2x - pi) + 5
d)
y = 5cos(2x - pi) + 3
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