WEEK:4 PROGRAMMING ASSIGNMENT 1 SOLUTION (Jan 2020-Apr2020) An Introduction to Programming through C++ NPTEL 2020

  

               An Introduction To Programming Through C++

IIT Bombay.

Week 4- Programming Assignment 1:

Write a program that takes as input two numbers n (integer) and x (double), and prints cos(x) evaluated by taking n terms of the Taylor series (using x0 =0):

cos(x)=1−x2/2!+x4/4!−x6/6!...

Sample Test Cases

                              Input          Output

Test Case 1            10 1         0.540302

Test Case 2            100 1.8   -0.227202

WRITE/COPY THESE CODE DIRECTLY IN NPTEL TERMINAL AND COMPILE AND RUN THEN SUBMIT.

PROGRAM:

#include<iostream>

int main()

{
 double i,j,n,fact,sign=-1;
 double x, p,sum=0;
 cin>>n;
 cin>>x;
 for(i=2;i<=n;i+=2)
 {
  p=1;
  fact=1;
  for(j=1;j<=i;j++)
  {
   p=p*x;
   fact=fact*j;
  }
  sum+=sign*p/fact;
  sign=-1*sign;
 }
 cout<<1+sum;
 return 0;
}

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