Calculating tan (in radians) using Taylor series (C++)

Calculate an approximate value tan (in radians) using Taylor series

calculateTAN() calculates and returns the tan of the given value in radians and it takes the value whose tan is to be calculated. This function uses:

calculateFACT() to determine the factorial.

calculateSINE() to calculate sine.

calculateCOSINE() to calculate cosine.

Code

#include "stdafx.h"

#include "iostream"

#include "conio.h"

#include "math.h"

using namespace std;

double calculateFACT(double number)

{

double factorial=1;

 for(int i=number;i>0;i--)

  factorial=factorial*i;

return factorial;

}

double calculateSINE(double m)

{

 int x=1;

       for(int i=3;i<13;i=i+2)

       {

              m=m+pow(-1.0,x)*(pow(m,i))/calculateFACT(i);

              x++;

       }

return m;

}

double calculateCOSINE(double m)

{

    double n=1;

       int x=1;

       for(int i=2;i<12;i=i+2)

       {

              n=n+pow(-1.0,x)*(pow(m,i))/calculateFACT(i);

              x++;

       }

return n;

}

double calculateTAN(double m)

{

  return calculateSINE ( m ) / calculateCOSINE ( m );

}

int main()

{

       cout<< calculateTAN( 0.0 ) ; cout<<endl;

       cout<< calculateTAN( 0.1 ) ; cout<<endl;

       cout<< calculateTAN( 0.2 ) ; cout<<endl;

       cout<< calculateTAN( 0.3 ) ; cout<<endl;

       cout<< calculateTAN( 0.4 ) ; cout<<endl;

       cout<< calculateTAN( 0.5 ) ; cout<<endl;

       cout<< calculateTAN( 0.6 ) ; cout<<endl;

       cout<< calculateTAN( 0.7 ) ; cout<<endl;

       cout<< calculateTAN( 0.8 ) ; cout<<endl;

       cout<< calculateTAN( 0.9 ) ; cout<<endl;

       cout<< calculateTAN( 1.0 ) ; cout<<endl;

       _getche();

       return 0;

}

Output

0

0.100335

0.20271

0.309335

0.422782

0.546246

0.68393

0.841663

1.02798

1.25617

1.54844

Related articles

Calculating cosine (in radians) using Taylor series (C++)

Calculating sine (in radians) using Taylor series (C++)