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Write a script that has
1) a function sinEstimate(x,N) that estimates the sin of x using the equation below. If N is not provided, then set it be default to 10.
2) a main() function to calculate the error between sinEstimate(x,N) and the build sin(x) from the math module.
Examples (in the main() function):
# Example 1
print("The absolute error of estimating sinEstimate(pi) is:", abs(sinEstimate(pi)-sin(pi)))
The absolute error of estimating sinEstimate(pi) is: 1.0348063438373582e-11
# Example 2
print("The absolute error of estimating sinEstimate(pi,5) is:", abs(sinEstimate(pi,5)-sin(pi)))
The absolute error of estimating sinEstimate(pi,5) is: 0.00044516023820933523
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