Precalculus – Chapter 5 Practice Test
Name
Date
Folder
On the circle below, indicate the angle measures in degrees (interior boxes) and radians (exterior boxes).
Complete the table: (use exact values)
θ
sin θ
cos θ
0º
tan θ
30º
45º
60º
90º
CN Precalculus – Chapter 5 Practice
2012-13
For 1 – 6, indicate the letter next to the graph for the appropriate function.
1. f(x) = cot x
c.
b.
a.
2. f(x) = sin x
3. f(x) = sec x
4. f(x) = cos x
5. f(x) = csc x
d.
e.
f.
6. f(x) = tan x
7.
Identify the reference angle θ of − 54°.
7.
8.
Find the arc length s shown in the figure (the larger angle).
8.
(round to 2 decimal places)
53°
7
9.
The point ( 6, − 3 ) is on the terminal side of an angle, θ (see figure
below).
Find the following:
.
(6, − 3)
CN Precalculus – Chapter 5 Practice
a)
sin θ
b)
cos θ
c)
tan θ
9.
a) sin θ
(exact value)
b) cos θ
(exact value)
c) tan θ
(exact value)
2012-13
10.
11.
Given y = - 3 sin
x 2
+
°
10.
– 7 , find the following:
a)
Amplitude
a)
b)
Period
b)
c)
Domain
c)
d)
Range
d)
11.
Using the right triangle, find the exact value of
sec θ.
4
12.
Find the exact value of csc 3π2.
13
Find the distance between the two cities given the following latitudes.
Assume the radius of the earth is 6371 kilometers.
Hammerfest, Norway
Athens, Greece
14.
12.
13.
(round to nearest kilometer)
70° 38' North
37° 58' North
Find the exact value of the six trigonometric functions of θ = 315°
14.
sin θ
cos θ
tan θ
csc θ
sec θ
CN Precalculus – Chapter 5 Practice
2012-13
cot θ
15.
The radii of the sprocket assemblies and the wheel of a bicycle are
9 inches, 3 inches, and 15 inches, respectively. If the cyclist is
pedaling at a rate of 1 revolution per second, find the speed of the
bicycle in feet per second.
15.
(round to the nearest tenth)
15"
3"
9"
(Not drawn to
scale)
sin 30° + tan 45° + cos 120° + sin 270°
16.
− 4 , θ in quadrant III.
5
17.
16.
Find the exact value of
17.
Find the exact value of cot θ given: cos θ
=
CN Precalculus – Chapter 5 Practice
2012-13