pre-cal 40s slides october 26, 2007
DESCRIPTION
Finish proving the angle sum and difference identities ... exercises.TRANSCRIPT
![Page 2: Pre-Cal 40S Slides October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/html5/thumbnails/2.jpg)
Proofs of the Sum and Difference Identities ...
Rotate ∠ROP so that OP lies on the positive x-axis
O O
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![Page 4: Pre-Cal 40S Slides October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/html5/thumbnails/4.jpg)
Proofs of the Sum and Difference Identities ...
Rotate ∠ROP so that OP lies on the positive x-axis
O O
![Page 5: Pre-Cal 40S Slides October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/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 6: Pre-Cal 40S Slides October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/html5/thumbnails/6.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 October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/html5/thumbnails/7.jpg)
Now back to our regularly scheduled programming ...
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How would you show this ...
![Page 9: Pre-Cal 40S Slides October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/html5/thumbnails/9.jpg)
How would you show this ...
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 10: Pre-Cal 40S Slides October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/html5/thumbnails/10.jpg)
Given: With and
Find
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Given: With and
Find
![Page 12: Pre-Cal 40S Slides October 26, 2007](https://reader033.vdocuments.mx/reader033/viewer/2022060200/559854e51a28abbb058b4680/html5/thumbnails/12.jpg)
Prove the following identity ...
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Prove: