Question

    c++

Code the question,
Output a table showing the values vs. the range of inputs specified.

Problem 12) Mutual Recursion. Provide code and test sufficiently. x- Base Condd,tien

Answer 1

#include<bits/stdc++.h>
using namespace std;

const double eps = 0.000001;
const double pi = 3.14;

//functions for code equations
double s(double );
double c(double );

int main(){
  
   cout << "Input(x)   c(x)           s(x)\n\n";
   for(double i = pi / 4; i <= 10; i++)
       cout << i << "       " << c(i) << "       " << s(i) << endl;

}
double s(double x){
  
   if(abs(x) < eps)
       return 1.0 / x + x / 6.0; //base condition
   double nm = c(x / 2.0);
   double dm = s(x / 2.0);
   return (nm * nm * dm * dm) / (nm * nm - dm * dm); //formula
}
double c(double x){
   if(abs(x) < eps){
       return 1 + x * x / 2.0; // base condition
   }
   return 0.5 * c(x / 2.0) * s(x / 2.0); //formula
}

Output