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WorksheetsPrecalculus Unit 5 Review
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Convert the following from radius to degrees: 3π/2
a)
180˚
b)
270˚
c)
90˚
d)
360˚
2.
Convert the following from radius to degrees: -2π/5
a)
288˚
b)
-70˚
c)
108˚
d)
-2/5˚
3.
Convert the following from degrees to radians: 63˚.
a)
7π/40
b)
63π
c)
7π/20
d)
7π/10
4.
Convert the following from degrees to radius: -324˚
a)
2π/3
b)
3π/5
c)
π/6
d)
π/5
5.
A building is 50 ft high. From a distance at point A on the ground, the angle of elevation to the top of the building is 30˚. From a little nearer at point B, the angle of elevation is 60˚. Find the distance from point A to point B.
a)
49.70 ft
b)
42.26
c)
57.74 ft
d)
56.73
6.
A 6 ft tall surveyor measures the angle of elevation of 43˚ from his eye level to the top of a building. He is standing 45 feet from the base of the building. What is the height of the building?
a)
41.96 ft
b)
35.96 ft
c)
38.92 ft
d)
47.96 ft
7.
A guy-wire is anchored 25 feet from the base of a telephone pole that is 55 feet tall. What is the angle the wire creates with the ground?
a)
24.44˚
b)
65.56˚
c)
62.96˚
d)
27.04˚
8.
An airplane pilot sights a shipwreck in the water. The horizontal distance from the plane to the shipwreck is 5.5 km. The airplanes altitude is 7km. Find the angle of depression form the pilot's line of sight to the shipwreck.
a)
51.84˚
b)
35.16˚
c)
38.21˚
d)
51.79˚
9.
Determine the function for each graph.
a)
y = -2sin(2x)
b)
y = 2cos(x)
c)
y = 2sin(2x)
d)
y = 2sin(x/2)
10.
Determine the function for each graph.
a)
y = 3cos(x)
b)
y = 3cos(x/2)
c)
y = 3cos(πx/2)
d)
y = 3cos(πx)
11.
Determine the function for each graph.
a)
y = sin(2x)
b)
y = sin(4x)
c)
y = sin(x/4)
d)
y = sin(x/2)
12.
Evaluate: sin-1(1/2)
a)
π/6
b)
π/3
c)
-π/6
d)
π/4
13.
Evaluate: cos-1(-√3/2)
a)
7π/6
b)
5π/6
c)
-π/6
d)
π/6
14.
Evaluate: tan-1(-1)
a)
7π/4
b)
π
c)
π/6
d)
-π/4
15.
Evaluate: csc-1(2)
a)
π/3
b)
-π/6
c)
π/4
d)
π/6
16.
Evaluate: sec-1(-(2√3)/3)
a)
π/6
b)
-π/3
c)
5π/6
d)
2π/3
17.
Evaluate: cot-1(√3/3)
a)
π/6
b)
π/3
c)
π/4
d)
π/2
18.
Evaluate: sin(2π/3) + cos (7π/6)
a)
√3
b)
(2√3)/2
c)
0
d)
1
19.
What x value contains an asymptote on the graph of tangent?
a)
-π
b)
3π/2
c)
0
d)
2π
20.
Which x value does not contain an asymptote on the graph of y = 3sec(3x)
a)
-5π/6
b)
2π/3
c)
π/6
d)
-π/2
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