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Summer 7.1 - 7.3 Review

Total questions: 40

Worksheet time: 5hrs 32mins

Name
Class
Date
1.
Find a coterminal angle to 20 degrees.
a)
740
b)
690
c)
760
d)
320
2.
Find a coterminal angle to -180 degrees.
a)
180
b)
90
c)
270
d)
360
3.
Convert from radians to degrees:  7π ∕ 4
a)
330°
b)
45°
c)
315°
d)
75°
4.
Find an angle coterminal with an angle which measures 11π ∕ 3.
a)
17 π / 3
b)
4π ∕ 3
c)
π ∕ 3
d)
8π ∕ 3
5.
What is 240 degrees in radians? 
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
6.
Which of the following is closest to the measure of the angle drawn by the green curve?
a)
5/6 π
b)
5/3 π
c)
4/5 π
d)
4/3 π
7.
Which of the following is closest to the measure of the angle shown?
a)
30º
b)
40º
c)
395º
d)
440º
8.
Which of the following angles is not coterminal to the other angles?
a)
10º
b)
370º
c)
–350º
d)
350º
9.
Draw an angle with the given measure in standard position.
a)
a
b)
b
c)
c
d)
d
10.
Find the measure of each angle
a)
a
b)
b
c)
c
d)
d
11.
Find the measure of each angle
a)
a
b)
b
c)
c
d)
d
12.
Which quadrant is 2π/3 in?
a)
I
b)
II
c)
III
d)
IV
13.
Standard position is when .....
a)
the initial side of the angle is on the positive x-axis.
b)
the initial side of the angle is on the negative x-axis.
c)
the initial side of the angle is on the positive y-axis.
d)
the initial side of the angle is on the negative y-axis.
14.
135° is found in which quadrant?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
15.
Convert each degree measure into radians
a)
a
b)
b
c)
c
d)
d
16.
Convert each degree measure into radians
a)
a
b)
b
c)
c
d)
d
17.
find a positve and negative coterminal angle for each given angle
a)
a
b)
b
c)
c
d)
d
18.
find a positve and negative coterminal angle for each given angle
a)
a
b)
b
c)
c
d)
d
19.
Find the arc length of arc AB.
a)
12.57 units
b)
75.40 units
c)
24 units
d)
125.66 units
20.
Find the length of the bold arc.Leave pi in your answer.
a)
5040πcm 
b)
2πcm 
c)
44.0cm
d)
14π cm
21.

What is the reference angle for 300 degrees?

a)

60 degrees

b)

95 degrees

c)

-85 degrees

d)

-95 degrees

22.

What is the reference angle for 5π/4?

a)

π/4

b)

7π/4

c)

π/6

d)

π/3

23.
What is the reference angle for -30 degrees?
a)
150 degrees
b)
30 degrees
c)
80 degrees
d)
60 degrees
24.

What is the reference angle for 2π/3

a)

π/4

b)

7π/6

c)

4π/3

d)

π/3

25.

What is the reference angle for -π/3?

a)

-π/3

b)

5π/3

c)

π/3

d)

-5π/3

26.
What is the reference angle for 240 degrees?
a)
60 degrees
b)
30 degrees
c)
45 degrees
d)
210 degrees
27.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
28.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
29.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
30.
Based on your unit circle sin(30o)=
a)
sqt2/2
b)
1/2
c)
1
d)
sqt3/2
31.
Based on your unit circle cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
32.
Based on your unit circle cos(0o)=
a)
1
b)
0
c)
-1
d)
1/2
33.
What is the exact value of sin 150°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
34.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
35.
For what angles are sine and cosine the same?
a)
0o
b)
45o and 1350
c)
45o and 2250
d)
45o and 3150
36.

On the unit circle, cosine is represented by the

a)

x-coordinate

b)

y-coordinate

c)

tangent values

d)

y/x

37.

On the unit circle, sine is represented by the

a)

x-coordinate

b)

y-coordinate

c)

tangent values

d)

y/x

38.

Which expression is equivalent to cos(210o)?

a)

cos(150o)

b)

cos(140o)

c)

cos(30o)

d)

cos(330o)

39.

Which of the following is true of the location of an angle whose tangent value is √3?

a)

It has a reference angle of 60o and is located in quadrant I or III

b)

It has a reference angle of 60o and is located in quadrant II or IV

c)

It has a reference angle of 30o and is located in quadrant I or III

d)

It has a reference angle of 30o and is located in quadrant II or IV

40.

tan(-90o)

a)

undefined

b)

0

c)

1/2

d)

√3

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