WorksheetsMath Analysis Fall Final Review
Total questions: 29
Worksheet time: 48mins
Name
Class
Date
1.
Which function represents the graph?
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin ( ⅓ x)
d)
f(x) = sin (3 x)
2.
a)
f(x) = sin (1/3x)
b)
f(x) = sin (3x)
c)
f(x) = 3 cos x
d)
f(x) = 3 sin x
3.
The __________ represents half the distance between the max and min of a sine or cosine graph.
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
4.
What is the period of this equation?
y = -5sin(3x)
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
5.
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: [-∞, ∞]
6.
What does a negative A value cause?
a)
A negative amplitude
b)
A reflection across the Y axis
c)
No effect
d)
A reflection across X axis
7.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
8.
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin (⅓ x)
d)
f(x) = cos (⅓ x)
9.
The unit circle...
a)
Has center at (1,1)
b)
Has a circumference of 1
c)
Has a diameter of 1
d)
Has a radius of 1
10.
The hypotenuse of any right triangle from the center of the unit circle to an edge is always
a)
1
b)
sqt2/2
c)
sqt3/2
d)
1/2
11.
Based on your unit circle sin(30o)=
a)
sqt2/2
b)
1/2
c)
1
d)
sqt3/2
12.
Based on your unit circle cos(0o)=
a)
1
b)
0
c)
-1
d)
1/2
13.
Based on your unit circle cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
14.
Based on your unit circle sin(0o)=
a)
1
b)
-1
c)
0
d)
1/2
15.
Based on your unit circle cos(30o)=
a)
1
b)
1/2
c)
sqt3/2
d)
sqt2/2
16.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
17.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
18.
Sine of an angle is the ratio of which side lengths of a right triangle?
a)
Opposite/Adjacent
b)
Opposite/Hypotenuse
c)
Adjacent/Opposite
d)
Adjacent/Hypotenuse
19.
Find the missing side lengths.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
sec²x −1
a)
sin²x
b)
cos²x
c)
tan²x
d)
cot²x
24.
1 + tan²x
a)
sin²x
b)
cos²x
c)
csc²x
d)
sec²x
25.
sin²x + cos²x + 1
a)
0
b)
1
c)
2
d)
3
26.
-(sin²x + cos²x)
a)
-1
b)
1
c)
-2
d)
2
27.
1/ cot x
a)
tanx
b)
sinx
c)
cosx
d)
cotx
28.
(cot²x) / (cscx+1)
a)
cscx +1
b)
cscx−1
c)
secx−1
d)
secx+1
29.
(sinx - cosx) / (sinxcosx)
a)
cosx−sinx
b)
sinx−cosx
c)
cscx−secx
d)
secx−cscx
100 %
