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6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas.

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Presentation on theme: "6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas."— Presentation transcript:

1 6.5 Double-Angle and Half-Angle Formulas

2 Theorem Double-Angle Formulas

3

4 Theorem Half-Angle Formulas where the + or - sign is determined by the quadrant of the angle

5 Examples Page 501: 11, 19, 29, 31, 51, 57, and 61

6 Assignment Page 501: 10, 12, 16, 18, 22, 30, 52, 58, and 60

7 6.6 Product-to-Sum and Sum-to-Product Formulas

8 Theorem Product-to-Sum Formulas

9 (a)

10 (b)

11 Theorem Sum-to-Product Formulas

12 (a) (b)

13 6.7 Trigonometric Equations (I)

14

15 Solve the equation

16 Assignment Page 505: 2, 4, 12, 16, 20 Page 511: 6, 12 – 34 even

17 6.8 Trigonometric Equations (II)

18 Solving Trigonometric Equations Quadratic in Form

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20 Solving Trigonometric Equations Using Identities

21

22

23 Solving Trigonometric Equations Linear in Sine and Cosine

24

25

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27 Assignment Page 518: 2 – 34 even and 46


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