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Sum and Difference
Proofs (continued ...)




             cosbmw by marymactavish
A Quiz




         PICT0015 by matt-hieu ergosteur
Proofs of the Sum and Difference Identities ...




                         Rotate ROP so that
                                                  O
          O              OP lies on the
                         positive x-axis




                  TO BE COMPLETED
Proofs of the Sum and Difference Identities ...




                          Rotate ROP so
                                                  O
           O              that OP lies on the
                          positive x-axis
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
            O                 lies on the positive x-axis
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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Pre-Cal 40S March 26, 2009

  • 1. Sum and Difference Proofs (continued ...) cosbmw by marymactavish
  • 2. A Quiz PICT0015 by matt-hieu ergosteur
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. Proofs of the Sum and Difference Identities ... Rotate ROP so that O O OP lies on the positive x-axis TO BE COMPLETED
  • 10. Proofs of the Sum and Difference Identities ... Rotate ROP so O O that OP lies on the positive x-axis
  • 11. 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)
  • 12. Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O O lies on the positive x-axis
  • 13. 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)