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.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter2: Problem Solving Using C++using

Section2.1: Introduction To C++

Problem 4E: (Practice) Determine names for functions that do the following: a. Find the average of a set of...

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