TRIG IDENTITIES. What is an identity?  Identity: a statement of equality that is TRUE as long as neither side is undefined. Except when x = -1.

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Presentation transcript:

TRIG IDENTITIES

What is an identity?  Identity: a statement of equality that is TRUE as long as neither side is undefined. Except when x = -1

Basic Identities

Why?

Other identities based on P.T. identity:

Cofunctions A B

Cofunction Identities

 Sin(40) =Sin(-40)=  Cos(40)=Cos(-40)=

Even-Odd Identities

We will be doing 5 things with identities…  Evaluating – finding a value (numerical answer)  Simplifying – condensing (answer is usually a single trig function)  Factoring – un-doing the box/FOIL  Solving – getting “x” by itself (up to 4 possible solutions)  Verifying/Proving: showing that the left side and right side are equivalent.

Ex 1. Evaluate  Find the value of sine & cosine if

Ex 1. Find a trig function 

Ex 2. Simplify

Ex 3. Factor

Ex.4 Solve

You Try