Page 52 - Trigonometry
P. 52

Example 15
            rd
        A 3  polynomial has three roots which are,

                  tan(31.94), cos(102.85), −sin(64.28)


        Determine the coefficients of the polynomial.

        Let


               = tan(31.94),     = cos(102.85),     = −sin(64.28)

        Then


                           (   −   )(   −   )(   −   )

        Expand,


                          2
                       [   −   (   +   ) +     ](   −   )
           3
                          2
                   2
            −     −    (   +   ) +   (   +   )   +        −       
             3
                   2
              −   (   +    +   ) +   (     +      +     ) −       
        In your fx calculator, store the trigonometric values,
        enter the following keystrokes,


        l31.94)=q(STO)(A)
        k102.85)=q(STO)(B)

        zj64.28)=q(STO)(C)





                                          48
   47   48   49   50   51   52   53   54   55   56   57