Download - Chapter 5 Analytic Trigonometry
Transcript
![Page 1: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/1.jpg)
Chapter 5 Analytic Trigonometry
![Page 2: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/2.jpg)
There are some trig identity you need to know
![Page 3: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/3.jpg)
Shown in class
Prove of the identities
![Page 4: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/4.jpg)
Find using identity
Example
![Page 5: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/5.jpg)
Answer
![Page 6: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/6.jpg)
You should be able to see they are similar.
Look at the trig graphs
![Page 7: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/7.jpg)
Odd-Even Identities
![Page 8: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/8.jpg)
sin3𝑥+¿ sin 𝑥cos2𝑥 ¿Simplify
![Page 9: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/9.jpg)
1+ tan2𝑥csc 2𝑥
Simplify
![Page 10: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/10.jpg)
¿Simplify
![Page 11: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/11.jpg)
sec (−𝑥)cos (−𝑥 )=¿¿Simplify
![Page 12: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/12.jpg)
cos 𝑥1− sin𝑥 −
sin 𝑥cos 𝑥
Simplify
![Page 13: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/13.jpg)
tan 𝑥csc2𝑥
+tan 𝑥sec2𝑥
Simplify
![Page 14: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/14.jpg)
Solving
![Page 15: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/15.jpg)
2sin2 𝑥+sin𝑥=1Solving
![Page 16: Chapter 5 Analytic Trigonometry](https://reader033.vdocuments.us/reader033/viewer/2022061602/568164de550346895dd73b70/html5/thumbnails/16.jpg)
Pg 451 # 2,7,10,12,18,24,32,37,39,47,53,55
Homework practice