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5.1 Using Fundamental Identities

5.1 Using Fundamental Identities

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5.1 Using Fundamental Identities. Fundamental Identities. Evaluate trigonometric functions Simplifying trigonometric functions Develop trigonometric functions Solve trigonometric equations. Fundamental Identities. More Identities. Using Trig Identities to Evaluate a function. - PowerPoint PPT Presentation

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Page 1: 5.1 Using Fundamental Identities

5.1 Using Fundamental Identities

Page 2: 5.1 Using Fundamental Identities

Fundamental IdentitiesEvaluate trigonometric functions

Simplifying trigonometric functions

Develop trigonometric functions

Solve trigonometric equations

Page 3: 5.1 Using Fundamental Identities

Fundamental Identities

Page 4: 5.1 Using Fundamental Identities

More Identities

Page 5: 5.1 Using Fundamental Identities

Using Trig Identities to Evaluate a functionGiven: secu = -3/2 and tanu > 0

Find all 6 trigonometric function values

Page 6: 5.1 Using Fundamental Identities

Simplifying Trig FunctionsSimplify

sinxcos2x – sinx

Page 7: 5.1 Using Fundamental Identities

Factoring Trig Expressionssec2q – 1

4tan2q + tanq – 3

csc2q – cotq – 3

Page 8: 5.1 Using Fundamental Identities

Simplifying Trig Expressionssinb + cotbcosb

Page 9: 5.1 Using Fundamental Identities

Operations with Trig Functions(cotq + cscq) (cotq – cscq)

cosx + 1 + sinx

1 + sinx cosx