IN PYTHON PLEASE AND THE ANSWER SHOULD BE MATCHING THE SAME NUMBERS IN THE QUESTIONS Write a Python function to compute f(x) = 1 − cos(x) for inputs in the range −1 < x < 1 with fractional error under 10*eps. Check your function by verifying that, to 14 significant digits, it returns f(10−4) = 4.9999999958333 × 10−9 and f(0.9) = 0.37839003172934. Hint: Subtracting 1 − cos(x) directly is accurate if cos(x) is not close to 1, but incurs subtractive cancellation when x is close to 0.
IN PYTHON PLEASE AND THE ANSWER SHOULD BE MATCHING THE SAME NUMBERS IN THE QUESTIONS Write a Python function to compute f(x) = 1 − cos(x) for inputs in the range −1 < x < 1 with fractional error under 10*eps. Check your function by verifying that, to 14 significant digits, it returns f(10−4) = 4.9999999958333 × 10−9 and f(0.9) = 0.37839003172934. Hint: Subtracting 1 − cos(x) directly is accurate if cos(x) is not close to 1, but incurs subtractive cancellation when x is close to 0.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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IN PYTHON PLEASE AND THE ANSWER SHOULD BE MATCHING THE SAME NUMBERS IN THE QUESTIONS
Write a Python function to compute f(x) = 1 − cos(x) for inputs in the range −1 < x < 1 with fractional error under 10*eps. Check your function by verifying that, to 14 significant digits, it returns f(10−4) = 4.9999999958333 × 10−9 and f(0.9) = 0.37839003172934.
Hint: Subtracting 1 − cos(x) directly is accurate if cos(x) is not close to 1, but incurs subtractive cancellation when x is close to 0.
The IMAGE BELOW IS NOT THE CORRECT ANSWER IT DOESN’T MATCH THE EXAMPLE EXACT NUMBERS AS SHOWN ABOVE THE CODE I NEED SHOULD OUTPUT THE SAME EXACT ANSWER AS PROVIDED IN THE QUESTION AND NOT WHAT IN THE IMAGE ATTACHED
THANK YOU FOR YOUR TIME!
Transcribed Image Text:# import numpy as np
import numpy as np
# function to calculate the value
def f(x):
return 1 np.cos(x) # return the result
print (f(10**-4)) # call the function for x=10^-4
print (f(0.9)) # call the function for x=0.9
4.999999969612645e-09
0.3783900317293356
Expert Solution
Step 1
Python code to solve the equation
f(x) = 1- cox(x)
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Solved in 2 steps with 2 images
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