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Warm-Up. Find the EXACT value of the following functions & identify their corresponding quadrant. Quadrant III. Quadrant II. Quadrant IV. CA SAT 9 STANDARDS: Students verify Trigonometric Identities. Learning Objectives: (1) Using the Fundamental Identities. Agenda:05/21/12.
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Warm-Up Find the EXACT value of the following functions & identify their corresponding quadrant. Quadrant III Quadrant II Quadrant IV
CA SAT 9 STANDARDS: Students verify Trigonometric Identities Learning Objectives: (1) Using the Fundamental Identities Agenda: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”
If P(x,y) is a point on the unit circle, we have the following: 1 first Pythagorean identity MEMORIZE
The Fundamental Identities The Reciprocal Identities The Tangent and Cotangent Identities The Pythagorean Identities
Proof of The Pythagorean Identities MEMORIZE!! 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