Quadrant III Quadrant II Quadrant IV Warm-Up Find the EXACT value of the following functions & identify their corresponding quadrant.

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Presentation transcript:

Quadrant III Quadrant II Quadrant IV Warm-Up Find the EXACT value of the following functions & identify their corresponding quadrant.

CA SAT 9 STANDARDS: Students verify Trigonometric IdentitiesAgenda:05/21/12 1.) Warm-up 2.) Questions: WS More on the Unit Circle 3.) Lesson: Proving Trigonometric Identities 4.) Class/Homework WS Trig Identities (Easy) 5.) STAY ON TASK!! 6.) Quiz Scores Make-Ups: Tomorrow 5/22/12 “Last Day” Learning Objectives: (1) Using the Fundamental Identities

If P(x,y) is a point on the unit circle, we have the following: 1 first Pythagorean identity MEMORIZE

The Reciprocal Identities The Tangent and Cotangent Identities The Pythagorean Identities The Fundamental Identities

Proof of The Pythagorean Identities MEMORIZE!!

Example 1: Prove that the following equation is an identity.

Example 2: Prove that the following equation is an identity. Scratch Work

Example 3: Prove that the following equation is an identity. FOIL