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Learn How To Graph the Sine and Cosine Functions

Directions:
1)  You will need to read through the web links to the right.
2)  Watch the video and pay attention to the key ideas listed.
3)  Click on Quizzes to take a quiz over this lesson..
Resources  (focus your attention to the construction of the unit circle)
  • http://clem.mscd.edu/~talmanl/HTML/SineCurve.html 
  • http://clem.mscd.edu/~talmanl/HTML/SineCurve.html
  • http://mathonweb.com/help_ebook/html/functions_1.htm
  • http://www.regentsprep.org/Regents/math/algtrig/ATT7/sincostan.htm
  • http://www.mathsisfun.com/algebra/trig-interactive-unit-circle.html

Lesson Videos

Key Points While Watching the Video 1 
1) The points on the x-axis relate to the radian measures of the unit circle. 
2)  A period of 2pi is the same as 1 revolution around the unit circle.
3)  Pay attention to the beginning point of the sine and cosine functions.
Key Points While Watching the Video 2 
1) Pay attention to the two formulas (period and phase shift
2)  Pay attention to how the amplitude changes the y-points on the graph.
3)  Pay attention to how the vertical shift changes the midline.
Worksheets:
  • Graphing Sin and Cos Functions    (Answers)
Worksheet: Graphing Sine and Cosine Functions
Worksheet:  Amplitude, Period, Phase Shift, Vertical Shift
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