Graph of trignometric functions
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At the end of the lesson the students are expected to: •Develop the properties of trigonometric functions. •Find the amplitude, period, phase shift and vertical shift of a trigonometric function from its equation. •Graph trigonometric functions. OBJECTIVES
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Transcript of Graph of trignometric functions
![Page 1: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/1.jpg)
At the end of the lesson the students are expected to:•Develop the properties of trigonometric functions.•Find the amplitude, period, phase shift and vertical shift of a trigonometric function from its equation.•Graph trigonometric functions.
OBJECTIVES
![Page 2: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/2.jpg)
![Page 3: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/3.jpg)
x siny
x siny
y
x
1
-1
![Page 4: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/4.jpg)
![Page 5: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/5.jpg)
y
x
xcosy
xcosy
1
-1
![Page 6: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/6.jpg)
The Amplitude and Period of Sinusoidal Graphs
![Page 7: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/7.jpg)
The Amplitude and Period of Sinusoidal Graphs
![Page 8: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/8.jpg)
![Page 9: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/9.jpg)
![Page 10: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/10.jpg)
Examples
![Page 11: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/11.jpg)
![Page 12: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/12.jpg)
y
x
![Page 13: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/13.jpg)
![Page 14: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/14.jpg)
y
x
![Page 15: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/15.jpg)
Examples
![Page 16: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/16.jpg)
![Page 17: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/17.jpg)
x
y
x secy
![Page 18: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/18.jpg)
![Page 19: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/19.jpg)
x cscy
x
y
![Page 20: Graph of trignometric functions](https://reader034.fdocuments.us/reader034/viewer/2022052507/55895f2bd8b42a65718b45c7/html5/thumbnails/20.jpg)
Examples