Q2. The Maclaurin series expansion of cos (x) is given below. In many scientific experiments we need to calculate values of cos (x) with different level of precision. Longer the series, higher the calculation accuracy becomes. Write a C++ code, which call a function that will calculate the series as bellow: It is mandatory to write following three functions: A function called 'factorial ()' that takes an integer as parameter and returns the factorial of that integer. [hint: 3! 1*2*3 likewise 7! = 1*2*3*4*5*6*7] a) A function called 'power' that takes a decimal number (b) and an integer (e) as parameter and returns b. [hint: 3=3*3*3*3*3*3] A function called " that takes x as parameter and utilizing b) c) the 'factorial' and 'power' functions to calculate value of cos x using above mentioned formula. Sample Input Sample Output Enter the value of n: 4 cos (5) 2.5 %3D For Cos (x) enter the value of x : 5 Enter the value of n: 3 cos (6) = -27 For Cos (x) enter the value of x: 6

C++ for Engineers and Scientists
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ISBN:9781133187844
Author:Bronson, Gary J.
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Chapter6: Modularity Using Functions
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Q2. The Maclaurin series expansion of cos (x) is given below.
In many scientific experiments we need to calculate values of cos (x)
with different level of precision. Longer the series, higher the
calculation accuracy becomes.
Write a C++ code, which call a function that will calculate the
series as bellow:
It is mandatory to write following three functions:
A function called 'factorial ()' that takes an integer as
parameter and returns the factorial of that integer. [hint: 3!
1*2*3 likewise 7! = 1*2*3* 4*5*6*7]
A function called 'power' that takes a decimal number (b) and
an integer (e) as parameter and returns b. [hint: 3=3*3*3*3*3*3]
c)
a)
b)
A function called " that takes x as parameter and utilizing
the 'factorial' and 'power' functions to calculate value of cos x
using above mentioned formula.
Sample Input
Sample Output
Enter the value of n: 4
cos (5)
2.5
%3D
For Cos (x) enter the value of x : 5
Enter the value of n: 3
cos (6)
= -27
For Cos (x) enter the value of x: 6
Transcribed Image Text:Q2. The Maclaurin series expansion of cos (x) is given below. In many scientific experiments we need to calculate values of cos (x) with different level of precision. Longer the series, higher the calculation accuracy becomes. Write a C++ code, which call a function that will calculate the series as bellow: It is mandatory to write following three functions: A function called 'factorial ()' that takes an integer as parameter and returns the factorial of that integer. [hint: 3! 1*2*3 likewise 7! = 1*2*3* 4*5*6*7] A function called 'power' that takes a decimal number (b) and an integer (e) as parameter and returns b. [hint: 3=3*3*3*3*3*3] c) a) b) A function called " that takes x as parameter and utilizing the 'factorial' and 'power' functions to calculate value of cos x using above mentioned formula. Sample Input Sample Output Enter the value of n: 4 cos (5) 2.5 %3D For Cos (x) enter the value of x : 5 Enter the value of n: 3 cos (6) = -27 For Cos (x) enter the value of x: 6
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