Trig Identities Lesson 3.1.

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Presentation transcript:

Trig Identities Lesson 3.1

Ratio Identities Since we know that x = cos t and y = cos t …

Reciprocal Identities Identities given by definition

Pythagorean Identities From the unit circle we saw that x2 + y2 = 1 Thus Also from (x, y) defn. (x,y) θ r y x

Verifying Trig Identities We will be given an equation Must prove that it is an identity Strategy Work with one side only Substitute expressions using the identities Goal is to manipulate one side to look like the other side

Try It Out Try these

Assignment Lesson 3.1 Page 222 Exercises 1 – 55 EOO