(Numerical Analysis) The value of sin x can be approximated by using this formula: x7 x° sin(x) = x - + 3! 5! + 7! 9! Using this formula, determine how many terms are needed to approximate the value returned by the intrinsic sin() function with an error less than le-6, when x = 30 degrees. (Hints: Use a while loop that terminates when the difference between the value returned by the intrinsic sin () function and the approximation is less than le-6. Also, note that x must first be converted to radian measure, and the alternating sign in the approximating series can be determined as (-1) × (n + 1), where n is the number of terms used in the approximation.)

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