Pre-Cal 40S Slides October 26, 2007

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Finish proving the angle sum and difference identities ... exercises.

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Pre-Cal 40S Slides October 26, 2007

  1. 1. PROOF continued ... Proofing
  2. 2. Proofs of the Sum and Difference Identities ... O Rotate ∠ROP so that OP O lies on the positive x-axis
  3. 3. Proofs of the Sum and Difference Identities ... O Rotate ∠ROP so that OP O lies on the positive x-axis
  4. 4. 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)
  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)
  6. 6. Now back to our regularly scheduled programming ...
  7. 7. How would you show this ...
  8. 8. 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) How would you show this ...
  9. 9. Given: With and Find
  10. 10. Given: With and Find
  11. 11. Prove the following identity ...
  12. 12. Prove:

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