Use python: Below mentioned is the series for the sinusoidal wave sin(x) Summing higher number of terms provides better approximation 3 5 7 9 11 where represents the factorial such as 11,22x1233x2x1-6 and so on. Define a Python function sin series (x, tol) which, retums the sum of the above series till the absolute value of the term becomes smaller than tol. The returned value should be rounded to 6 decimal places. However, calculations are not rounded off at any stage in the program For example, sin series (3.14,1.0) retums 0.523849 which is obtained by adding first three terms only because the absolute value of fourth term (3.14) -0.597141149 becomes smaller than the input tol to the function ie 0.597141149 <1.0 71

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section6.5: Variable Scope
Problem 4E
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Use python:
Below mentioned is the series for the sinusoidal wave sin(x). Summing higher number of terms provides better approximation
sin(x)=x-+-
3 5 7 9 11
where "T" represents the factorial such as 11-1,202 x 1-2,3-3 x 2 x 1-6 and so on.
Define a Python function sin series (x, tol) which, retums the sum of the above series till the absolute value of the term becomes smaller than tol. The returned
value should be rounded to 6 decimal places. However, calculations are not rounded off at any stage in the program.
For example, sin series (3.14,1.0) retums 0.523849 which is obtained by adding first three terms only because the absolute value of fourth term
(3.14)
0.597141149 becomes smaller than the input tol to the function ie 0.597141149 <1.0
7!
Transcribed Image Text:Use python: Below mentioned is the series for the sinusoidal wave sin(x). Summing higher number of terms provides better approximation sin(x)=x-+- 3 5 7 9 11 where "T" represents the factorial such as 11-1,202 x 1-2,3-3 x 2 x 1-6 and so on. Define a Python function sin series (x, tol) which, retums the sum of the above series till the absolute value of the term becomes smaller than tol. The returned value should be rounded to 6 decimal places. However, calculations are not rounded off at any stage in the program. For example, sin series (3.14,1.0) retums 0.523849 which is obtained by adding first three terms only because the absolute value of fourth term (3.14) 0.597141149 becomes smaller than the input tol to the function ie 0.597141149 <1.0 7!
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