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WorksheetsTrig Functions
Total questions: 31
Worksheet time: 50mins
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 vertical shift?
a)
Down 1
b)
Down 5
c)
Down 3
d)
Down 4
3.
Which is an equation of the cosine function with an amplitude of 2, period of Π, phase shift of Π/2?
a)
y= -2cos(x/2 - ∏/4)
b)
y= 2cos (x/2 + ∏)
c)
y= 2cos (2x-∏)
d)
y= -2cos(2x-∏/2)
4.
What is the phase shift for y = 4cos(1/2 (x +π/2)) - 2?
a)
left pi/2
b)
right pi/2
c)
right 2pi
d)
left 2pi
5.
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
6.
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
7.
The vertical stretch of the graph; distance between the midline and the max/min.
a)
Period
b)
Cycle
c)
Axis of Oscillation
d)
Amplitude
8.
The horizontal length required to complete one cycle.
a)
Period
b)
Cycle
c)
Axis of Oscillation
d)
Amplitude
9.
Which formula do you use to discover the Period/Cycle for sin and cos?
a)
Period=2π/Frequency
b)
Frequency=2π
c)
Period=2π
d)
Frequency=π/4
10.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
R: [-π, π]
c)
D: (∞, -∞)
R: [-1, 1]
R: [-1, 1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
R: [-∞, ∞]
11.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
12.
what is the amplitude of y=3sin(7x)-2
a)
7
b)
-2
c)
3
d)
6
13.
which value represents amplitude in the function y = asin(bx-h) + k
a)
a
b)
b
c)
h
d)
k
14.
what is the period of y= -3sinx
a)
π
b)
2π
c)
3π
d)
4π
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
Evaluate: Cos-1(√3/2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
22.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
23.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
24.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
25.
What is the equation of this graph?
a)
y=cos2x
b)
y=2sin2x
c)
y=2cos2x
d)
y=2sinx
26.
What is an equation of the graph shown?
a)
y=cos1/2x
b)
y=cos2x
c)
y=sin 1/2 x
d)
y=sin2x
27.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
28.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
29.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
30.
What is the phase shift?
y=-2sin(x-π)
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
31.
What is the period of this graph?
a)
2π
b)
π/2
c)
π/4
d)
π
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