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C H A P T E R 5 Analytic Trigonometry

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33.<br />

1<br />

sin<br />

1 cos 2x1 cos 2x1 cos 2x<br />

8 2 x cos4 x sin2 x cos2 x cos2 1 cos 2x 1 cos 2x 1 cos 2x<br />

x 2 2 2<br />

34. sin4 x cos2 x sin2 x sin2 x cos2 x<br />

35. cos <br />

2<br />

36. sin <br />

2<br />

1 cos 2x<br />

2<br />

1<br />

16<br />

<br />

1<br />

8 1 cos 2x1 cos2 2x<br />

1<br />

81 cos 2x 1 cos 4x<br />

2<br />

1<br />

1 cos 2x cos 4x <br />

2<br />

1<br />

8 1 cos2 2x1 cos 2x<br />

1<br />

81 cos 2x 1 cos 4x<br />

2<br />

1<br />

8 1 cos 2x cos2 2x cos 3 2x<br />

1<br />

2 cos 2x 2 cos 4x cos 6x<br />

32<br />

Section 5.5 Multiple-Angle and Product-to-Sum Formulas 497<br />

1<br />

8 1 cos 2x cos2 2x cos 3 2x<br />

1<br />

2 2 cos 2x 1 cos 4x cos 2x cos 2x cos 4x<br />

16<br />

1<br />

1 cos 2x cos 4x cos 2x cos 4x<br />

16<br />

1 cos 2x<br />

2<br />

1<br />

2 2 cos 2x 1 cos 4x cos 2x cos 2x cos 4x<br />

16<br />

1<br />

cos 2x cos 6x<br />

2<br />

1<br />

2 2 cos 2x 2 cos 4x cos 2x cos 6x<br />

32<br />

1 cos <br />

2<br />

1 cos <br />

2<br />

θ<br />

1 15<br />

2<br />

1 15<br />

2<br />

17<br />

17<br />

<br />

1 cos 2x<br />

2<br />

15<br />

<br />

17<br />

<br />

1 cos 4x<br />

cos 2x<br />

2 <br />

Figure for Exercises 35–40<br />

32 16 417<br />

<br />

34 17 17<br />

2<br />

17 1 17<br />

<br />

2 17 17<br />

8<br />

<br />

<br />

1 cos 4x<br />

cos 2x<br />

2 <br />

sin 8<br />

17<br />

cos 15<br />

17

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