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Double-Angle and Power-Reducing Identities Double-Angle and Power-Reducing Identities

Double-Angle and Power-Reducing Identities - PowerPoint Presentation

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Double-Angle and Power-Reducing Identities - PPT Presentation

Section 54 DoubleAngle Identities Proving the first of these PowerReducing Identities Guided Practice Prove the given identity Guided Practice Prove the given identity Guided Practice Prove the given identity ID: 577731

guided practice identity identities practice guided identities identity prove find angle equation interval solutions exact power xpression involving value

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Slide1

Double-Angle and Power-Reducing Identities

Section 5.4Slide2

Double-Angle Identities

Proving the first of these:Slide3

Power-Reducing IdentitiesSlide4

Guided Practice

Prove the given identity.Slide5

Guided Practice

Prove the given identity.Slide6

Guided Practice

Prove the given identity.Slide7

Guided Practice

Rewrite in terms of trigonometric functions with

n

o power greater than 1.Slide8

Guided Practice

Find all solutions to the given equation in the interval .

orSlide9

Guided Practice

Find all solutions to the given equation in the interval .

orSlide10

Guided Practice

Find all solutions to the given equation in the interval .

Quadratic Formula:

Only keep this answer:Slide11

Guided Practice

Find all solutions to the given equation in the interval .

orSlide12

Half-Angle IdentitiesSlide13

Half-Angle IdentitiesSlide14

Guided Practice

Use half-angle identities to find an exact value of the given

e

xpression.Slide15

Guided Practice

Use half-angle identities to find an exact value of the given

e

xpression.

Since , we take the positive value…Slide16

Guided Practice

Use half-angle identities to find an exact value of the given

e

xpression.

Since , we take the positive value…Slide17

Guided Practice

Write the given expression as one involving only and .

(Note: There are multiple correct answers!!!)Slide18

Guided Practice

Write the given expression as one involving only and .

(Note: There are multiple correct answers!!!)Slide19

Guided Practice

Prove the identity:Slide20

Guided Practice

Prove the identity:Slide21

Guided Practice

Prove the identity:Slide22

Guided Practice

Prove the identity: