Assignment #2 - 84A
Assignment #2 - 84A
ASSIGNMENT 2
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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.