5.1 Using Fundamental Identities

Fundamental IdentitiesEvaluate trigonometric functions

Simplifying trigonometric functions

Develop trigonometric functions

Solve trigonometric equations

Fundamental Identities

More Identities

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

Find all 6 trigonometric function values

Simplifying Trig FunctionsSimplify

sinxcos2x – sinx

Factoring Trig Expressionssec2q – 1

4tan2q + tanq – 3

csc2q – cotq – 3

Simplifying Trig Expressionssinb + cotbcosb

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

cosx + 1 + sinx

1 + sinx cosx