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Ch.14.3_GraphingFunctions.notebook                      March 05, 2012


              Chapter 14.3 
              Graphing the Sine Function
          Reference Angle
                 The acute angle between the x­axis 
                 and the "terminal" side of the angle
                90                               90




    180                                  180
                              0 or 360                    0 or 360




                 270                             270




               What is the REFERENCE angle for
               a 9830 angle?




                                                                         1
Ch.14.3_GraphingFunctions.notebook                            March 05, 2012



               θ         sin(θ)
              00                               1
                                                              y
              300
              600
                                     θ
              90     0
                                                   x
            1200
            1500
            1800
            2100
            2400
            2700
            3000
            3300
            3600


                1


               .75

                .5


               .25



                             900     1800   2700       3600




                                                                               2
Ch.14.3_GraphingFunctions.notebook                               March 05, 2012




                   http://www.youtube.com/watch?v=Ohp6Okk_tww




                  http://www.math.utah.edu/~palais/cossin.html




                                                                                  3
Ch.14.3_GraphingFunctions.notebook      March 05, 2012




       Page 626
       22 ­ 33 all
       Give the ratio AND the reference angle




                                                         4

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Ch.14.3 Graphing Functions

  • 1. Ch.14.3_GraphingFunctions.notebook March 05, 2012 Chapter 14.3  Graphing the Sine Function Reference Angle The acute angle between the x­axis  and the "terminal" side of the angle 90 90 180 180 0 or 360 0 or 360 270 270 What is the REFERENCE angle for a 9830 angle? 1
  • 2. Ch.14.3_GraphingFunctions.notebook March 05, 2012 θ sin(θ) 00 1 y 300 600 θ 90 0 x 1200 1500 1800 2100 2400 2700 3000 3300 3600 1 .75 .5 .25 900 1800 2700 3600 2
  • 3. Ch.14.3_GraphingFunctions.notebook March 05, 2012 http://www.youtube.com/watch?v=Ohp6Okk_tww http://www.math.utah.edu/~palais/cossin.html 3
  • 4. Ch.14.3_GraphingFunctions.notebook March 05, 2012 Page 626 22 ­ 33 all Give the ratio AND the reference angle 4