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It has to be in c++ please. Thanks (No arrays---- intro c++ class) Write a funct

ID: 3938674 • Letter: I

Question

It has to be in c++ please. Thanks (No arrays---- intro c++ class)

Write a function to compute the cosine of x. The user should supply x and a positive integer n. We compute the cosine of x using the series and the computation should use all terms in the series up through the term involving x^n cos x = 1 - x^2/2! + x^4/4! - x^6/6! -..... Write a function to compute sinx for given x. The user should supply x and a positive integer n. We compute the sine of x using the series and the computation should use all terms in the series up through the term involving x^n sin x = x - x^3/3! + x^5/5! - x^7/7! + x^9/9!

Explanation / Answer

Sine series:

#include<iostream> using namespace std;
int main()
{
   int i,j,n,fact,sign=-1;
   float x, p,sum=0;    cout<<"Enter the value of x : ";
   cin>>x;   
cout<<"Enter the value of n : ";   
cin>>n;
    for(i=1;i<=n;i+=2)
   {       
p=1;
fact=1;   
   for(j=1;j<=i;j++)        {            p=p*x;   
       fact=fact*j;       
}
   sign=-1*sign;   
   sum+=sign*p/fact;
   }   
cout<<"sin"<<x<<"="<<sum;   
    return 0;
}

Cosine series:

#include<iostream> using namespace std;
int main()
{   
int i,j,n,fact,sign=-1;
   float x, p,sum=0;
    cout<<"Enter the value of x : ";   
cin>>x;    cout<<"Enter the value of n : ";   
cin>>n;    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<<"cos "<<x<<"="<<1+sum;    return 0;
}

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