(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.)
(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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![(Numerical Analysis) The value of sin x can be approximated by using this formula:
x' 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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71daea65-3ad6-4e47-9bcd-4453c1b29b88%2F2c10f7f0-3f12-496e-9923-617644264af6%2Fmqgs21s_processed.png&w=3840&q=75)
Transcribed Image Text:(Numerical Analysis) The value of sin x can be approximated by using this formula:
x' 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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