Trigonometry
Name___________________________________ ID: 1
Unit Circle Gateway Review 2 - Reference Angles
Date________________ Course____
Convert each degree measure into radians and each radian measure into degrees.
1) -140°
3) −
2) 75°
2π
3
4)
π
6
Draw an angle with the given measure in standard position.
5)
7π
6
6) −
π
3
y
y
x
x
Find the reference angle.
7)
8)
y
y
−330°
−290°
x
9) −335°
x
10) −210°
Find the measure of each angle indicated. Round to the nearest tenth.
11)
12)
A
C
14
θ
13
A
C
5
13
θ
B
B
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Worksheet by Kuta Software LLC
State the quadrant in which the terminal side of each angle lies.
13) 420°
15)
14) −
5π
6
13π
6
16) 355°
π
3
18) 95°
17) −
Use the given point on the terminal side of angle θ to find the value of the trigonometric function
indicated.
19) cos θ
20) cos θ
y
y
(4, 3)
(7,
15 )
x
21) cos θ
x
22) sin θ
y
y
x
(2, −
23) cos θ
x
5)
(
24) cos θ
y
(
11, −5)
y
17, 8)
x
x
(−13, −16)
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Worksheet by Kuta Software LLC
Trigonometry
Name___________________________________ ID: 1
Unit Circle Gateway Review 2 - Reference Angles
Date________________ Course____
Convert each degree measure into radians and each radian measure into degrees.
7π
5π
1) -140° −
2) 75°
9
12
3) −
2π
3
-120°
4)
π
6
30°
Draw an angle with the given measure in standard position.
5)
7π
6
6) −
π
3
y
y
x
x
Find the reference angle.
7)
8)
y
y
−330°
−290°
x
x
30°
70°
9) −335°
25°
10) −210°
30°
Find the measure of each angle indicated. Round to the nearest tenth.
11)
12)
A
C
14
θ
13
A
13
θ
B
47.1°
C
5
22.6°
B
-1-
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Worksheet by Kuta Software LLC
State the quadrant in which the terminal side of each angle lies.
13) 420°
I
15)
5π
6
III
14) −
13π
6
I
16) 355°
IV
π
3
IV
18) 95°
II
17) −
Use the given point on the terminal side of angle θ to find the value of the trigonometric function
indicated.
4
7
19) cos θ
20) cos θ
y
y
5
8
(4, 3)
(7,
15 )
x
21) cos θ
x
2
3
y
22) sin θ
y
x
(2, −
23) cos θ
(
17
9
(
5
6
−
13 17
85
x
5)
y
−
24) cos θ
11, −5)
y
17, 8)
x
x
(−13, −16)
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Worksheet by Kuta Software LLC