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6.5 double-angle and half-angle formulas. theorem double-angle formulas

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6.5 Double-Angle and Half- Angle Formulas

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Page 1: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

6.5Double-Angle and Half-Angle Formulas

Page 2: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Theorem Double-Angle Formulas

Page 3: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 4: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Theorem Half-Angle Formulas

where the + or - sign is determined by the quadrant of the angle

Page 5: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Examples

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

Page 6: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Assignment

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

Page 7: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

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

Page 8: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Theorem Product-to-Sum Formulas

Page 9: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

(a)

Page 10: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

(b)

Page 11: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Theorem Sum-to-Product Formulas

Page 12: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

(a)

(b)

Page 13: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

6.7 Trigonometric Equations (I)

Page 14: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 15: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Solve the equation

Page 16: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Assignment

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

Page 17: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

6.8 Trigonometric Equations (II)

Page 18: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Solving Trigonometric Equations Quadratic in Form

Page 19: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 20: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Solving Trigonometric Equations Using Identities

Page 21: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 22: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 23: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Solving Trigonometric Equations Linear in Sine and Cosine

Page 24: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 25: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 26: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas
Page 27: 6.5 Double-Angle and Half-Angle Formulas. Theorem Double-Angle Formulas

Assignment

Page 518: 2 – 34 even and 46


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