Assignment #2 - 84A

Assignment #2 - 84A


                               ASSIGNMENT 2
                               ============

                               DUE FEB  3                   (WEIGHT 10)

       THE SINE OF X EXPRESSED IN RADIANS IS

          SINE(X)  =   X  -  X**3/F3  +  X**5/F5  -  X**7/F7 +   ...  +

                       X**(2*K+1)*(-1)**K/F(2*K+1)
          WHERE F3 IS FACTORIAL 3 = 3*2*1 = 6
                F4 IS FACTORIAL 4 = 4*F3 = 4*3*2*1 = 24
                ETC.

    THE MORE TERMS  THAT ARE USED, THE MORE  ACCURATE THE APPROXIMATION
    WILL BE.  USE THIS FORMULA TO CALCULATE THREE APPROXIMATIONS OF SINE
    OF 45 DEGREES USING 5, 50 AND 500 TERMS.
    WRITE AN EXPLANATION ON YOUR OUTPUT, AS TO WHY THE RESULTS COMPARED
    TO THE BUILT-IN SYSTEM SIN FUNCTION ARE STRANGE.