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Pythag Identities

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Pythag Identities

  1. 1. Aim: What are the Pythagorean Identities? MB43 12/3/08 Lomas Do Now: Name the reciprocal identities we talked about yesterday Name the quotient identities we talked about yesterday HW Review: 3, 7, 12 HW: Read 680-683 Do pg 684 #15-35odd
  2. 2. Aim: What are the Pythagorean Identities? MB43 12/3/08 Lomas 1 y x (x,y) Pythagorean Theorem says x 2 +y 2 =1 and we know that x = cos θ and y = sin θ θ HW: Read 680-683 Do pg 684 #15-35odd
  3. 3. Aim: What are the Pythagorean Identities? MB43 12/3/08 Lomas sin 2 θ + cos 2 θ = 1 HW: Read 680-683 Do pg 684 #15-35odd
  4. 4. Aim: What are the Pythagorean Identities? MB43 12/3/08 Lomas Pythagorean Identities: sin 2 θ + cos 2 θ = 1 1 + tan 2 θ = sec 2 θ cot 2 θ + 1 = csc 2 θ HW: Read 680-683 Do pg 684 #15-35odd
  5. 5. Aim: What are the Pythagorean Identities? MB43 12/3/08 Lomas If sec A = -3 and <A is in Quad II find tan A Express 1 + cot 2 θ in terms of sine and cosine or both HW: Read 680-683 Do pg 684 #15-35odd
  6. 6. Aim: What are the Pythagorean Identities? MB43 12/3/08 Lomas csc A tan A sec 2 A - 1 HW: Read 680-683 Do pg 684 #15-35odd
  7. 7. Aim: What are the Pythagorean Identities? MB43 12/3/08 Lomas HW: Read 680-683 Do pg 684 #15-35odd

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