C H A P T E R 5 Analytic Trigonometry

Section 5.5 Multiple-Angle and Product-to-Sum Formulas 491
Vocabulary Check
1. 2.
3. 4. tan
1 cos u
5. ± 2
6.
1 cos u sin u
sin u 1 cos u
7.
1
cosu v cosu v
2
8.
1
sinu v sinu v
2
u v u v
9. 2 sin 2 cos 2
u v u v
10. 2 sin 2 sin 2
2 cos u
2 u sin2 u 2 cos2 u 1 1 2 sin2 cos
u
2 2 sin u cos u
u
1. sin 17
17
4. sin 2 2 sin cos
2 1
17 4
17
8
17
1
7. csc 2
2 sin cos
1
sin 2
17
8
Figure for Exercises 1–8
θ
17
4
2. tan 1
4
5.
1
tan 2
2 17
17 417
17
1 16
2 15
8
15
1
2
1
2 tan
1 tan 2
2 1
4
1 1
4 2
1 1
16
8.
tan 1
cos
4
417
sin
17
17
17
3.
6.
cos 2 2 cos 2 1
2 417
17 2
1
32
1
17
15
17
sec 2 1
cos 2
1
cos 2 sin 2
1
16 1
17 17
17
15
cot 2 1
tan 2 1 tan2
2 tan
1 1
15
8
1
4
17 2
1
17 2
4 2
2 1
4