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

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6.5 Double-Angle and Half- Angle Formulas

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

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

6.5Double-Angle and Half-Angle Formulas

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Theorem Double-Angle Formulas

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Theorem Half-Angle Formulas

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

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Examples

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

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Assignment

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

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

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Theorem Product-to-Sum Formulas

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(a)

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(b)

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Theorem Sum-to-Product Formulas

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(a)

(b)

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6.7 Trigonometric Equations (I)

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Solve the equation

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Assignment

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

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6.8 Trigonometric Equations (II)

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Solving Trigonometric Equations Quadratic in Form

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Solving Trigonometric Equations Using Identities

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Solving Trigonometric Equations Linear in Sine and Cosine

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Assignment

Page 518: 2 – 34 even and 46


All double angle formulas are derived from the …...Double Angle Formulas All double angle formulas are derived from the compound angle formulas (addition) Consider: 4. Double Angles

All double angle formulas are derived from the …...Double Angle Formulas All double angle formulas are derived from the compound angle formulas (addition) Consider: 4. Double Angles

Trig Front Pages - majanminds.com · 4. To use compound (+ and - ) trig formulas. (3a and 3b) 5. To use double and half angle formula. (3c) 6. To use special trig formula. (4) 7.

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Using Sum, Difference, and Double-Angle Identities

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6.2 sum, difference, and double angle identities

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Double-Angle and Half-Angle Formulas

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6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

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Trig – 9/12/2015 Simplify. 312 Homework: p382 VC, 1-8, 17-25 odds Honors: 27-30 all Today’s Lesson: Double-Angle & Power-Reducing Formulas.

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