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WorksheetsUnit 6 Review: Graphing Trig Functions & Inverse Trig
Total questions: 12
Worksheet time: 3600secs
Name
Class
Date
1.
sin-1(-1/2)
a)
π/3
b)
π/6
c)
5π/6
d)
-π/6
2.
Which of the following could be the correct function for the graph?
a)
y = 2secx - 1
b)
y = 2sinx - 1
c)
y = 2cscx - 1
d)
y = 2cosx - 1
3.
7. What is the phase shift for y = 4cos(1/2x +π) - 2?
a)
left pi/2
b)
right pi/2
c)
right 2pi
d)
left 2pi
4.
8. What is the period for y = 4cos(1/2x +π) - 2?
a)
pi/2
b)
pi
c)
3pi
d)
4pi
5.
Assuming no transformations, what type of function is this?
a)
Sin
b)
Cos
c)
Tan
d)
Cot
6.
What is the amplitude of
y = -3sin (7x) -2
a)
7
b)
-2
c)
3
d)
-3
7.
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: [-∞, ∞]
8.
State the range of
y = 3 csc x + 1.
a)
b)
c)
d)
9.
What is the range of the function y=3sinθ - 2
a)
[-1,1]
b)
(-∞,∞)
c)
[-5,1]
d)
[5,-1]
10.
Given y = 5 cos ( θ + 5π/6) , which of the following describes the transformation to the cosx "parent" function?
a)
amplitude is 5, shift left 5π/6 radians
b)
shift up 5, shift left 5π/6 radians
c)
amplitude is ⅕, shift right 12/5 radians
d)
shift up 5π/6 radians, shift right 5 radians
11.
tan(sin-1(-1/2))
a)
√3
b)
√3/3
c)
-√3
d)
-√3/3
12.
Arccos(sin 5π/4)
a)
3π/4
b)
π/2
c)
π/6
d)
π/3
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