Download - Pre-Cal 40S Slides March 27, 2008
Transcript
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Proofs of the Sum and Difference Identities ...
Rotate ∠ROP so that OP lies on the positive x-axisO O
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Recall the 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.
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Proofs of the Sum and Difference Identities ...
Rotate ∠ROP so that OP lies on the positive x-axisO
O
![Page 5: Pre-Cal 40S Slides March 27, 2008](https://reader033.vdocuments.us/reader033/viewer/2022060117/558498ebd8b42adf458b4c5b/html5/thumbnails/5.jpg)
Recall the 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.
![Page 7: Pre-Cal 40S Slides March 27, 2008](https://reader033.vdocuments.us/reader033/viewer/2022060117/558498ebd8b42adf458b4c5b/html5/thumbnails/7.jpg)
1. Simplify each of the following.
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2. Prove each of the following identities.
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Now back to our regularly scheduled programming ...
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How would you show this ...
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The Double Angle Identities ...
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The Double Angle Identities ...