C H A P T E R 5 Analytic Trigonometry

464 Chapter 5 Analytic Trigonometry
48.
50.
52. csc2 x 0.5 cot x 5 0 53. Graph y1 2 tan2 x 7 tan x 15.
54.
55.
cos x cot x
3
1 sin x
4
49. x tan x 1 0
cos x
tan x
y1 3
1 sin x
0
2 Graph y1 x tan x 1.
The x-intercepts occur at
x 0.860 and x 3.426.
0
5
−5
y1 1
sin x 2
1
5
2 tan x
x 0.515, 2.726, 3.657, 5.868
2
6 sin 2 x 7 sin x 2 0
sin x 1
3
x 0.524, 2.618
x cos x 1 0 5
51.
x 4.917
x 0.524, 0.730, 2.412, 2.618
sin x 13 ± 132 4123
212
13 ± 5
24
or sin x 3
4
x 0.3398, 2.8018 x 0.8481, 2.2935
−6
0
−5
0
2
−2
0
10
−30
2
The x-intercepts occur at x 0.983, x 1.768,
x 4.124 and x 4.910.
12 sin2 x 13 sin x 3 0 Graph y1 12 sin2 x 13 sin x 3.
2
sec 2 x 0.5 tan x 1 0
Graph y1
The x-intercepts occur at
x 0, x 2.678,
x 3.142, and
x 5.820.
0
30
−10
2
1
0.5 tan x 1.
2 cos x
2
The x-intercepts occur at
x 0.3398, x 0.8481, x 2.2935, and x 2.8018.
0
0
−4
10
−2
4
2
2