c+++++++++++++ c In this task, you are required to write a code which takes as an input an angle[0°, 90°] in radians and returns the approximate value of the cosine of thisangle. The code will also take as an input the number of terms to be used toapproximate the result.We will use the Maclaurin series of cos(x) to approximate the result. Theseries is given by:cos(x)=Σn=0-1"x2n(2n!)but for practical reasons, we will not use infinite terms but k terms where k isinput by the user:cos(x)=Σ-1x2n2n=0 (2n!)So, for example, to calculate the cosine for 60° (1.04667 radians) using fiveterms, the approximation will be:1.04667²11.04667¹4!1.046676 1.046678+0.500462!6!8!• The program should at most handle 15 terms (to avoid overflows dueto factorial), otherwise the program outputs Invalid• There should be at least three terms used in the approximation,otherwise the program outputs Invalid• If the number of terms is negative, the programs corrects itautomatically to positive.• If the angle is out of range, the program outputs Invalid1/0Program Input:A single line that takes in any angle (in radians)• A single line that takes in the number of terms to use in theapproximationProgram Output:• A single line that outputs the approximate value of the cosine Sample Testcase 0:Input:1.046675Output:0.5004572Sample Testcase 1:Input:1.0466720Output:Invalid1 #include 2 #include <3 #include 4 using namespace std;56 int main()7{8double x;9int k;10double sum = 0;11cin>>x;12cin>>k;1314// Write your code here15161718// End Your code

This is C++ related program and working perfectly fine and giving the correct result. Note that for…

In this task, you are required to write a code which takes as an input an angle [0°, 90°] in radians and returns the approximate value of the cosine of this angle. The code will also take as an input the number of terms to be used to approximate the result. We will use the Maclaurin series of cos(x) to approximate the result. The series is given by: cos(x) Σn=0 (2n!) -1" 2n

In this task, you are required to write a code which takes as an input an angle [0°, 90°] in radians and returns the approximate value of the cosine of this angle. The code will also take as an input the number of terms to be used to approximate the result. We will use the Maclaurin series of cos(x) to approximate the result. The series is given by: cos(x) Σn=0 (2n!) -1" 2n

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 14PE

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