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Pre-Cal 40S March 15, 2007

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The end of the sum and difference identities and all the double angle identities for sine, cosine and tangent.

The end of the sum and difference identities and all the double angle identities for sine, cosine and tangent.

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    Pre-Cal 40S March 15, 2007 Pre-Cal 40S March 15, 2007 Presentation Transcript

    • Prove each of the following identities ...
    • Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O lies on the positive x-axis O
    • Proofs of the Sum and Difference Identities ... Rotate ∠ROP so that OP O lies on the positive x-axis O
    • Even and Odd Identities sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x) The sine and tangent functions are ODD functions. Cosine is an EVEN function.
    • Even and Odd Identities sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x) The sine and tangent functions are ODD functions. Cosine is an EVEN function.
    • Now back to our regularly scheduled programming ...
    • Now you try ...
    • Prove:
    • Prove: