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

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6.5Double-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

Examples

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

Assignment

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

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

Theorem Product-to-Sum Formulas

(a)

(b)

Theorem Sum-to-Product Formulas

(a)

(b)

6.7 Trigonometric Equations (I)

Solve the equation

Assignment

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

6.8 Trigonometric Equations (II)

Solving Trigonometric Equations Quadratic in Form

Solving Trigonometric Equations Using Identities

Solving Trigonometric Equations Linear in Sine and Cosine

Assignment

Page 518: 2 – 34 even and 46

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