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

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Presentation transcript:

Trig – 4/21/2017 Simplify. 312 Homework: p382 VC, 1-8, 17-25 odds Honors: 27-30 all Simplify. Today’s Lesson: Double-Angle & Power-Reducing Formulas

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.

Double Angle Formulas

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

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

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

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

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

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

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

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

Power-Reducing Formulas Honors

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

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

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