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C H A P T E R 5 Analytic Trigonometry

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91.<br />

93.<br />

95.<br />

97.<br />

99.<br />

sin 2 5<br />

13 2<br />

25<br />

169<br />

sin 2 1 cos 2 1 12<br />

13 2<br />

sin cos 5<br />

13 4 4<br />

5 13<br />

sin cos cos <br />

2<br />

csc 2 1<br />

sin 2<br />

<br />

<br />

5<br />

13 4 4<br />

5 13<br />

1<br />

2 sin cos <br />

1<br />

sin <br />

1<br />

2 cos <br />

csc <br />

2 cos <br />

1 144 25<br />

<br />

169 169<br />

<br />

sin 2<br />

cos 2 2 sin 2 2 cos22<br />

cos 4<br />

sin x cos x 2 sin 2 x 2 sin x cos x cos 2 x<br />

Section 5.5 Multiple-Angle and Product-to-Sum Formulas 505<br />

5 3<br />

β<br />

α 4<br />

sin 2 x cos 2 x 2 sin x cos x<br />

1 sin 2x<br />

101. 1 cos 10y 1 cos2 5y sin2 5y<br />

1 cos 2 5y 1 cos 2 5y<br />

2 cos 2 5y<br />

13<br />

12<br />

Figure for Exercises 91–94<br />

92.<br />

94.<br />

96.<br />

98.<br />

100.<br />

5<br />

cos2 cos 2 12<br />

13 2<br />

144<br />

169<br />

cos 2 1 sin 2 <br />

1 5<br />

13 2<br />

1 25 144<br />

<br />

169 169<br />

cos sin 12<br />

13 3 36<br />

5 65<br />

cos sin sin <br />

2<br />

sec 2 1<br />

cos 2 <br />

12<br />

13 3 36<br />

5 65<br />

<br />

<br />

<br />

cos 2<br />

1<br />

cos 2 sin 2 <br />

1<br />

cos 2 <br />

1 sin2 <br />

cos 2 <br />

sec2 <br />

1 tan 2 <br />

sec 2 <br />

1 sec 2 1<br />

sec2 <br />

2 sec 2 <br />

cos 4 x sin 4 x cos 2 x sin 2 xcos 2 x sin 2 x<br />

cos 2x1<br />

cos 2x<br />

sin 1 <br />

3 cos 3 22sin3 cos3 1 2<br />

sin<br />

2 3

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