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Pre-Cal 40S Slides March 24, 2008

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Darren Kuropatwa
Darren Kuropatwa

Proofs of the cosine sum and difference identities.

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Sum and Difference Proofs (continued ...) cosbmw by marymactavish
Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O lies on the positive x-axis O
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)
Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O lies on the positive x-axis O
Pre-Cal 40S Slides March 24, 2008
Pre-Cal 40S Slides March 24, 2008
Pre-Cal 40S Slides March 24, 2008
Pre-Cal 40S Slides March 24, 2008
Pre-Cal 40S Slides March 24, 2008
Pre-Cal 40S Slides March 24, 2008

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Pre-Cal 40S Slides March 24, 2008

  • 1. Sum and Difference Proofs (continued ...) cosbmw by marymactavish
  • 2. Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O lies on the positive x-axis O
  • 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. Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O lies on the positive x-axis O