C H A P T E R 5 Analytic Trigonometry

510 Chapter 5 Analytic Trigonometry
128. (a)
(b) The graph appears to be that of sin 2x.
(c)
130. (a)
132. (a)
−2 2
−2
2 129. (a)
2 sin x2 cos2 x
2 1 2 sin x cos x
12
10
8
6
4
2
sin 2x
(b) d 4 62 3 102 10 2 13 2
100 169 269
4 6
(c) Midpoint: ,
2
3 10
(b)
y
−6 −4 2 4 6 8 10
−2
(−4, −3)
(c) Midpoint:
1
16
9
(6, 10)
2
3 1 3
,
2
3
2
y
169
36
1 2 ( , )
3 3
−2 −1
1
3 ( −1, − )
2
1
−1
−2
d 1 2
1
3 2 3
3
2
x
2 7
1, 2
x
2 2
233
36
23
4
3 2
13
6 2
1
6 233
56
,
2 2 1 5
,
3 12
131. (a)
6
5
(−1, 4)
3
2
1
y
−3 −2 −1
−1
−2
1 2 3 4 5
(b) d 1 52 4 22 62 22 40 210
(5, 2)
5 1
(c) Midpoint: ,
2
2 4
3
2
1
y
( 0, ) 1
2
4 5 ( , )
3 2
−1 1 2
x
2 2, 3
(b)
4
0 3
(c) Midpoint: 2 ,
1
2 5
2
2 2
3
,
3 52
d
213
9 3
4 2
0
3 5 1
2 2 2
16
9
133. (a) Complement: 90 55 35
Supplement: 180 55 125
x
2
(b) Complement: Not possible. 162 > 90
Supplement: 180 162 18
4