NAME
DATE
12-6
PERIOD
Practice
Circular Functions
The terminal side of angle θ in standard position intersects the unit circle at each
point P . Find cos θ and sin θ.
(
√3
)
√
3
2
( 29
1
cos θ = - −
2
)
20
21
2. P −
, -−
1
, − sin θ = − ,
1. P -−
2 2
29
21
, 3. P(0.8, 0.6) sin θ = 0.6,
sin θ = - −
29
20
cos θ = −
29
(
4. P(0, -1) sin θ = -1,
√
2
2
√2
2
)
5. P - −, - −
cos θ = 0.8
sin θ =
√2
2
cos θ = 0
√2
2
- −, cos θ = - −
1
)
(
√3
1 sin θ = − ,
6. P −, −
2
2 2
√
3
2
cos θ = −
Determine the period of each function.
7.
y
1
O
-1
1
2
3
4
5
6
7
8
4
10 θ
9
-2
8.
y
1
O
-1
π
2π
3π
4π
5π
6π
θ
2π
-2
7π
9. cos −
10. sin (-30°)
√
2
2
1
-−
4
−
2
1
-−
1
√
2
2
−
)
12. cos (-330°)
√3
2
√3
2
9π
14. sin −
17. sin (-225°)
3
−
-−
13. cos 600°
2
(
2π
11. sin - −
2
(
11π
16. cos -−
15. cos 7π
(
-−
10π
19. cos - −
√2
2
1
-−
-−
2
)
√
2
2
-1
18. sin 585°
4
3
)
20. sin 840°
√3
2
−
21. FERRIS WHEELS A Ferris wheel with a diameter of 100 feet completes 2.5 revolutions
per minute. What is the period of the function that describes the height of a seat on the
outside edge of the Ferris wheel as a function of time? 24 s
Chapter 12
38
Glencoe Algebra 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Find the exact value of each function.