Taylor series

#include<stdio.h>

#include<stdlib.h>

#include<math.h>

int main()

{

    int ch,i;

    float num,den,x,degree,sum=0,term;

    printf("enter 1 for sin(x)\n enter 2 for cos(x)\n");

    scanf("%d",&ch);

    printf("enter the degree");

    x=(degree*3.14)/180.0;

    switch(ch)

    {

        case1:num=x;

        den=1;

        i=2;

        break;

        case2:num=1;

        den=1;

        i=1;

        break;

        default:printf("enter the proper choice\n");

        exit(0);

    }

    do

    {

        term=num/den;

        num=-num*x*x;

        den=den*i*(i+1);

        sum=sum+term;

        i+i+2;

    }

    while(fabs(term)>0.000001);

    if(ch==1)

    {

        printf("sin(%f) without built in function=%f\n",degree,sum);

        printf("sin(%f) with built in function=%f\n",degree,sin(x));

    }

    else

    {

          printf("cos(%f) without built in function=%f\n",degree,sum);

        printf("cos(%f) with built in function=%f\n",degree,cos(x));

    }

    return 0;

}

 Algorithm for Taylor series

Start

Read degree

x=degree*pi /180

Read choice 1: sin, 2: cos

If choice is 1: num = x, den = 1, i = 2

If choice is 2: num = 1, den = 1, i = 1

Do

term = num/den

sum = sum + term

i = i+2

num = -num * x * x

den = den * i * (i+1)

while(fabs(term) > 0.00001)

If choice is 1: print sum and sin(x)

If choice is 2: print sum and cos(x)

Stop