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Worksheets4.5-4.9 Quiz Review
Total questions: 60
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
sin-1(-1/2)
a)
π/3
b)
π/6
c)
5π/6
d)
-π/6
2.
tan(sin-1(-1/2))
a)
√3
b)
√3/3
c)
-√3
d)
-√3/3
3.
cos-1(√(3)/2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
4.
csc(cos-1(√(3)/2))
a)
2
b)
-2
c)
2√3/3
d)
-2√3/3
5.
sec-1(-2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
6.
tan-1(√(3))
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
7.
csc-1(-√(2))
a)
π/4
b)
3π/4
c)
-π/4
d)
-3π/4
8.
cos-1(tan(-π/4))
a)
0
b)
π
c)
π/4
d)
3π/4
9.
sin-1(-1) =
a)
π/2
b)
0
c)
-1
d)
-π/2
10.
cos-1(0) =
a)
π/2
b)
π
c)
1
d)
none of these
11.
sin(cos-1(0))=
a)
0
b)
1
c)
π/2
d)
π
12.
sin-1(√(2)/2) =
a)
π/4
b)
π/3
c)
π/2
d)
π
13.
tan(cos-1(-1))=
a)
undefined
b)
0
c)
½
d)
1
14.
tan(sin-1(1))=
a)
undefined
b)
0
c)
½
d)
1
15.
tan(sin-1(-1/2))=
a)
√(3)
b)
√(3)/3
c)
-√(3)
d)
-√(3)/3
16.
cos-1(- √(3)/2) =
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
17.
tan-1(-√(3))=
a)
π
b)
-π/6
c)
-π/3
d)
-π/4
18.
What range of angles for inverse cosine?
a)
[0, π]
b)
[0, 2π]
c)
[-π/2, π/2]
d)
[π/2, 3π/2]
19.
What is the range of angles for inverse sine?
a)
[0, π]
b)
[0, 2π]
c)
[-π/2, π/2]
d)
[π/2, 3π/2]
20.
What is the range of angles for inverse tangent?
a)
(0, π/2)
b)
(-π/2, π/2)
c)
(0, π)
d)
(0, 2π)
21.
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
sin x
a)
b)
39.
cos x
a)
b)
40.
tan x
a)
b)
41.
csc x
a)
b)
42.
sec x
a)
b)
43.
cot x
a)
b)
44.
In the graph shown, what is the value of A if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
a)
-2
b)
2.5
c)
3
d)
-3.5
45.
In the graph shown, what is the value of D if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
a)
1
b)
0.5
c)
-0.5
d)
-2
46.
Which of
A sin B(x – C) + D
affects the period?
A sin B(x – C) + D
affects the period?
a)
A
b)
B
c)
C
d)
D
47.
What is the amplitude?
a)
2
b)
4
c)
8
d)
-6
48.
What is the period?
a)
2π
b)
−1
c)
2
d)
π
49.
What is the vertical shift?
a)
2
b)
−1
c)
3
d)
−4
50.
What is the amplitude?
a)
2
b)
1
c)
3
d)
−4
51.
Which equation?
a)
y= -cos(2x)
b)
y= cos(2x)
c)
y= (1/2)cosx
d)
y= (-1/2)cosx
52.
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
53.
Which function below matches this graph?
a)
1/2tan(x)
b)
1/2sec(x)
c)
-1/2tan(x)
d)
-1/2sec(x)
54.
Which function below matches this graph?
a)
cot(x)
b)
cot4(x)
c)
cot8(x)
d)
π/4cot(x)
55.
Which function below matches this graph?
a)
-cos3(x)
b)
-3cos(x)
c)
cos(x)-3
d)
cos(x+3)
56.
Which function below matches this graph?
a)
1-csc(x)
b)
csc(x)
c)
-csc(x)
d)
1+csc(x)
57.
Which function below matches this graph?
a)
2+sec(x)
b)
sec2(x)
c)
2sec(x)
d)
sec(x-2)
58.
Which function below matches this graph?
a)
tan(x-π/4)
b)
tan(x+π/4)
c)
cot(x)
d)
π/4cot(x)
59.
Which function below describes only the following transformations?
Reflection over x-axis
Amplitude: 1/2
Reflection over x-axis
Amplitude: 1/2
a)
-1/2+sin(x)
b)
sec1/2(x-π)
c)
cot(x-π/2)
d)
-1/2tan(x)
60.
Which function below describes only the following transformations?
Left π/2
Period: π
Left π/2
Period: π
a)
csc2(x+π/2)
b)
2sec(x+π/2)
c)
tanπ/2(x+2)
d)
2-csc(x+π/2)
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