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Trig Identities

Trig Identities. Lesson 3.1. Ratio Identities. Since we know that x = cos t and y = cos t …. Reciprocal Identities. Identities given by definition. (x,y). r y . θ. x. Pythagorean Identities. From the unit circle we saw that x 2 + y 2 = 1 Thus

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Trig Identities

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  1. Trig Identities Lesson 3.1

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

  3. Reciprocal Identities • Identities given by definition

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

  5. 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

  6. Try It Out • Try these

  7. Assignment • Lesson 3.1 • Page 222 • Exercises 1 – 55 EOO

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