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Trig – 4/21/2017 Simplify. 312 Homework: p382 VC, 1-8, odds

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Presentation on theme: "Trig – 4/21/2017 Simplify. 312 Homework: p382 VC, 1-8, odds"— Presentation transcript:

1 Trig – 4/21/2017 Simplify. 312 Homework: p382 VC, 1-8, 17-25 odds
Honors: all Simplify. Today’s Lesson: Double-Angle & Power-Reducing Formulas

2 Trig/Pre-Calculus You will: Honors
Today’s Lesson: Double-Angle & Power-Reducing Formulas You will: Use the double-angle formulas to evaluate trig functions. Use the double-angle formulas to solve trig equations. Honors Use the Power-Reducing formulas to evaluate trig functions. Use the Power-Reducing formulas to solve trig functions.

3 Double Angle Formulas

4 Double Angle Formulas Find the exact value of each trig function.
1. sin x 4. sin 2x 2. cos x 5. cos 2x 3. tan x 6. tan 2x 5 x 12

5 Double Angle Formulas Find the exact value of each trig function.
1. sin x 4. sin 2x 2. cos x 5. cos 2x 3. tan x 6. tan 2x 8 x 15

6 Double Angle Formulas Use the following to find and 5 –12 13

7 Double Angle Formulas Use the following to find and 5 –12 13

8 Double Angle Formulas Use the following to find and 5 3 4

9 Double Angle Formulas Use the following to find and 5 3 4

10 Solving a Multiple-Angle Eq
Solve. Double-Angle Formula

11 Solving a Multiple-Angle Eq
Solve. Double-Angle Formula

12 Power-Reducing Formulas Honors

13 Power Reducing Formulas
Rewrite sin2x as a sum of first powers of cosines of multiple angles.

14 Power-Reducing Formulas
Rewrite sin4x as a sum of first powers of cosines of multiple angles.

15 Power Reducing Formulas
Rewrite tan4x as a sum of first powers of cosines of multiple angles.


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