The following equation is true for all r #0: 1 - cos(x) 2:2 =2 2 (sin(a/2))...

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The following equation is true for all r #0: 1 - cos(x) 2:2 =2 2 (sin(a/2)) 2. a) Which of the two expressions is better suited numerically for small values of |x|? Explain why. b) Check your assessment by writing a program that evaluates the two expressions and compare the results for the input values = 10-5 and x = 10-8. The exact results are (18 significant digits): x 10-5 | 0.499999999995833333, x 10-8 0.499999999999999996. Submit your code together with its output and your justification. The following equation is true for all r #0: 1 - cos(x) 2:2 =2 2 (sin(a/2)) 2. a) Which of the two expressions is better suited numerically for small values of |x|? Explain why. b) Check your assessment by writing a program that evaluates the two expressions and compare the results for the input values = 10-5 and x = 10-8. The exact results are (18 significant digits): x 10-5 | 0.499999999995833333, x 10-8 0.499999999999999996. Submit your code together with its output and your justification.