In Exercises 15-22, write each expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 15. 2 sin 15° cos 15° 16. 2 sin 22.5° cos 22.5° 17. cos? 75° - sin² 75° 18. cos 105° - sin² 105° 19. 2 сos? 20. 1 - 2 sin 12 1 8. 2 tan 12 2 tan 8. 21. 22. tan 12 tan? 8 1 1.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.4: Trigonometric Functions Of Any Angle
Problem 18E
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In Exercises 15-22, write each expression as the sine, cosine,
or tangent of a double angle. Then find the exact value of the
expression.
15. 2 sin 15° cos 15°
16. 2 sin 22.5° cos 22.5°
17. cos? 75° - sin² 75°
18. cos 105° - sin² 105°
19. 2 сos?
20. 1 - 2 sin
12
1
8.
2 tan
12
2 tan
8.
21.
22.
tan
12
tan?
8
1
1.
Transcribed Image Text:In Exercises 15-22, write each expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 15. 2 sin 15° cos 15° 16. 2 sin 22.5° cos 22.5° 17. cos? 75° - sin² 75° 18. cos 105° - sin² 105° 19. 2 сos? 20. 1 - 2 sin 12 1 8. 2 tan 12 2 tan 8. 21. 22. tan 12 tan? 8 1 1.
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