5.4 sum and difference formulas in this section students will use sum and difference formulas to...
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![Page 1: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/1.jpg)
5.4 Sum and Difference Formulas
In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and solve trigonometric equations.
![Page 2: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/2.jpg)
Section 5.4, Sum and Difference Formulas, pg. 368
![Page 3: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/3.jpg)
Example 1
Find the exact value of cos75
![Page 4: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/4.jpg)
Section 5.4, Sum and Difference Formulas, pg. 368
![Page 5: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/5.jpg)
Example 2
Find the exact value of sin12
![Page 6: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/6.jpg)
Section 5.4, Sum and Difference Formulas, pg. 368
![Page 7: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/7.jpg)
Example 3
Find the exact value of sin(u+v) given
, where and
where
sinu 4
50
2 u
cosv
12
13 2
v
![Page 8: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/8.jpg)
Section 5.4, Sum and Difference Formulas, pg. 368
![Page 9: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/9.jpg)
Example 5
Prove the cofunction identity cos( ) sin2
x x
![Page 10: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/10.jpg)
Section 5.4, Sum and Difference Formulas, pg. 368
![Page 11: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/11.jpg)
Example 6
Simplify the expression.
a. b.cos( )
3
2tan( ) 3
![Page 12: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/12.jpg)
Section 5.4, Sum and Difference Formulas, pg. 368
![Page 13: 5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and](https://reader038.vdocuments.site/reader038/viewer/2022103006/56649e875503460f94b8b351/html5/thumbnails/13.jpg)
Example 7
Find all solutions of in the interval
sin( ) sin( )x x 4 4
1
[ , )0 2