Pre-Cal 40S Slides March 27, 2008

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The double angle identities.

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Pre-Cal 40S Slides March 27, 2008

  1. 1. The Double Angle Identities twins by luana
  2. 2. Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O O lies on the positive x-axis
  3. 3. Recall the Even and Odd Identities The sine and tangent functions are ODD functions. Cosine is an EVEN function. sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x)
  4. 4. Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O lies on the positive x-axis O
  5. 5. Recall the Even and Odd Identities The sine and tangent functions are ODD functions. Cosine is an EVEN function. sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x)

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