Infinite Algebra 2 - Double Angle and Half Angle Review

Pre-Calculus
Name___________________________________
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Double Angle and Half Angle Review
Date________________ Period____
Use a double-angle identity to find the exact value of each expression.
4
and 270° < q < 360°
5
Find tan 2q
1) cos q =
4
and 180° < q < 270°
5
Find tan 2q
2) cos q = -
3
and 90° < q < 180°
5
Find sin 2q
15
and 270° < q < 360°
15
Find cos 2q
4) sin q =
4 41
and 90° < q < 180°
41
Find cos 2q
6) tan q = -
3) tan q = -
5) sin q =
24
and 90° < q < 180°
25
Find cos 2q
7) cos q = -
3
3p
and
< q < 2p
5
2
Find sin 2q
9) sin q = -
3
and 270° < q < 360°
4
Find sin 2q
3 10
p
and < q < p
10
2
Find tan 2q
8) cos q = -
8
p
and 0 < q <
15
2
Find cos 2q
10) tan q =
Use a half-angle identity to find the exact value of each expression.
5
and 180° < q < 270°
13
q
Find tan
2
11) sin q = -
4
and 0° < q < 90°
5
q
Find sin
2
12) cos q =
Worksheet by Kuta Software LLC
-1-
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3
and 90° < q < 180°
4
q
Find cos
2
13) tan q = -
4
and 180° < q < 270°
5
q
Find tan
2
15) cos q = -
3
and 180° < q < 270°
5
q
Find tan
2
17) sin q = -
3
3p
and
< q < 2p
4
2
q
Find sin
2
19) tan q = -
2
and 0° < q < 90°
2
q
Find tan
2
14) cos q =
16) cos q = Find sin
12
and 90° < q < 180°
13
q
2
3
3p
and
< q < 2p
4
2
q
Find tan
2
18) tan q = -
3
p
and 0 < q <
5
2
q
Find cos
2
20) sin q =
Use a double-angle or half-angle identity to find the exact value of each expression.
21) cos 105°
23) tan 75°
22) tan
p
8
24) sin
5p
8
1
25) sin 22 °
2
Worksheet by Kuta Software LLC
-2-
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