C H A P T E R 5 Analytic Trigonometry

88.
tan u 5 3
, < u <
8 2
sin u 5
89
cos u 8
89
sin u 1 cos u 1
889
2 2
2
cos u 1 cos u 1
889
2 2
2
tan u 1 cos u
2 sin u
2
cos u
2
1 cos u
2
1 8
89
5
89
89 8
5
1 27
2
89 8 89 889
289 178
89 8 89 889
289 178
8 89
5
89. Given and is in Quadrant I.
sin u 1 cos u 1 27
2
2
9
u
cos u
2
3 314
14 14 14
2
35
, < u < ⇒ sin u
7 2 7
90.
5 70
14 14
tan u 1 cos u 1 27 97 3 35
2 sin u 357 357 5 5
sec u 6,
1
< u < , sin u 1
2 36
sin u 1 cos u
2 2
cos u
2
tan u 1 cos u 1 16 7
2 sin u 356 6
6 7 35
35 35 5
tan u sinu2 216 21 35
2 cosu2 156 15 5
1 cos 10x 10x
91. cos cos 5x
92.
2
2
93. cos
6
1 cos u
2
1
sin
6 2
1 16
2
1 16
2
1
sin sin 0 sin
3 2 3
7 21
12 6
35
, cos u 1
6 6
5 15
12 6
95. cos 5 cos 3 1
2cos 2 cos 8 96.
or
94.
sin 6x
tan 3x
1 cos 6x
Review Exercises for Chapter 5 521
6 sin 15 sin 45 6 1
cos15 45 cos15 45
2
4 sin 3 cos 2 4 1
−5
3cos30 cos 60
3cos 30 cos 60
−8
89
2sin3 2 sin3 2
2sin 5 sin
u
y
x