Unit 5 – Multiple Choice Review
On the unit circle shown, which radian measure is
located at −
a)
13𝜋
4
b)
4𝜋
3
2
2
,−
2
2
c)
11𝜋
4
?
d)
7𝜋
3
On the unit circle shown, which radian measure is
located at −
a)
13𝜋
4
b)
4𝜋
3
c)
2
2
,−
2
2
11𝜋
4
?
d)
7𝜋
3
A transmitter sends a radio wave rom the top of a 90-foot
building. The amplitude of the wave is 2.5, the midline of the
1
wave is 7, and the frequency of the wave is . Which equation
𝜋
BEST represents this radio wave?
a) 𝑦 = 2.5sin(2𝑥)
c) 𝑦 = 7 + 2 sin 2.5𝑥
b) 𝑦 = 7 + 2.5 sin 2𝑥
d) 𝑦 = 2.5 + 2sin(7𝑥)
A transmitter sends a radio wave rom the top of a 90-foot
building. The amplitude of the wave is 2.5, the midline of the
1
wave is 7, and the frequency of the wave is . Which equation
𝜋
BEST represents this radio wave?
a) 𝑦 = 2.5sin(2𝑥)
b) 𝑦 = 7 + 2.5 sin 2𝑥
c) 𝑦 = 7 + 2 sin 2.5𝑥
d) 𝑦 = 2.5 + 2sin(7𝑥)
Angle 𝜃 is in Quandrant IV, with cos 𝜃 =
What is tan 𝜃?
a)
12
−
5
b)
5
−
12
c)
9
25
5
.
13
d)
3
4
Angle 𝜃 is in Quandrant IV, with cos 𝜃 =
What is tan 𝜃?
a)
12
−
5
b)
5
−
12
c)
9
25
5
.
13
d)
3
4
Angle 𝜃 is in Quadrant III, and tan 𝜃 =
What is the exact value of sin 𝜃?
a)
2 5
5
b)
5
5
c) −
5
5
d)
2 5
−
5
1
.
2
Angle 𝜃 is in Quadrant III, and tan 𝜃 =
What is the exact value of sin 𝜃?
a)
2 5
5
b)
5
5
c) −
5
5
d)
2 5
−
5
1
.
2
Which angle is coterminal with an angle in
5𝜋
standard position measuring ?
7
a)
12𝜋
7
b)
18𝜋
7
c)
−9𝜋
7
d)
5𝜋
7
Which angle is coterminal with an angle in
5𝜋
standard position measuring ?
7
a)
12𝜋
7
b)
18𝜋
7
c)
−9𝜋
7
d)
5𝜋
7
Using the Pythagorean identity 𝑠𝑖𝑛2 𝜃 + 𝑐𝑜𝑠 2 𝜃 = 1,
6
find cos𝜃 if sin𝜃 = − and 180° < 𝜃 < 270° .
7
a) −
13
6
b)
17
4
c) −
13
7
d)
15
4
Using the Pythagorean identity 𝑠𝑖𝑛2 𝜃 + 𝑐𝑜𝑠 2 𝜃 = 1,
6
find cos𝜃 if sin𝜃 = − and 180° < 𝜃 < 270° .
7
a) −
13
6
b)
17
4
c) −
13
7
d)
15
4
On the unit circle, let ∠𝑊 be located at
a)
coordinates
1 3
− ,
2 2
1
−
2
3
2
b)
2𝜋
3
and has
. What is the cosine of ∠𝑊?
c)
1
3
d) 2
On the unit circle, let ∠𝑊 be located at
a)
coordinates
1 3
− ,
2 2
1
−
2
3
2
b)
2𝜋
3
and has
. What is the cosine of ∠𝑊?
c)
1
3
d) 2
Given a function with the equation
𝑦 = 4cos(2𝜃), what is the frequency?
a) 180
b) 720
c)
1
180
d)
1
720
Given a function with the equation
𝑦 = 4cos(2𝜃), what is the frequency?
a) 180
b) 720
c)
1
180
d)
1
720
A 45 foot ladder is attached to the edge the roof of a
building and rested on the ground. How far away from
the building should the bottom of the ladder be if you
want it to create a 22˚ angle of elevation with the
ground?
A. 15.74 ft
C. 68.20 ft
B. 41.72 ft
D. 71.84 ft
A 45 foot ladder is attached to the edge the roof of a
building and rested on the ground. How far away from
the building should the bottom of the ladder be if you
want it to create a 22˚̊ angle of elevation with the
ground?
A. 15.74 ft
C. 68.20 ft
B. 41.72 ft
D. 71.84 ft
Which statement BEST represents the
relationship between angles s and t
given that angle s has coordinate
points (-x, -y) and angle t has
coordinate points (-x, y)?
a. The angles are equal.
b. The angles have equal sines.
c. The angles have equal cosines.
d. The angles are opposite of each other.
Which statement BEST represents the
relationship between angles s and t
given that angle s has coordinate
points (-x, -y) and angle t has
coordinate points (-x, y)?
a. The angles are equal.
b. The angles have equal sines.
c. The angles have equal cosines.
d. The angles are opposite of each other.
On the unit circle shown, which radian
measure represents the point located
at (−
a.
13𝜋
4
3𝜋
b
4
2
,
2
−
c.
2
)?
2
7𝜋
4
−𝜋
d.
4
On the unit circle shown, which radian
measure represents the point located
at (−
a.
13𝜋
4
3𝜋
b
4
2
,
2
−
c.
2
)?
2
7𝜋
4
−𝜋
d.
4
Find the reference angle
a.
−𝜋
9
b.
8𝜋
9
c.
𝜋
9
𝜋
of radians?
9
d.
9
𝜋
Find the reference angle
a.
−𝜋
9
b.
8𝜋
9
c.
𝜋
9
𝜋
of radians?
9
d.
9
𝜋