To find value of cosx using its infinite series expansion through a c program.?

Question

can anyone tell me ,how do u write a c program to find the value of cosx only by using the infinte series expansion i.e.,
1- ((x^2)/2!)+((x^4)/4!)........infinity.

Answer 1

#include
#include
#include

long int fact(int n)
{

int i;
long int x=1;
for (i=1;i<=n;i++){
x=x*i;

}
return x; }


main(){
double x,sum;
int n,i,a,k;

do {
system("cls");
do {

printf("\n\nEnter the number of terms [0..16] : ");
scanf("%d",&n);

} while (n>16);
printf("Enter the angle in degrees : ");
scanf("%d",&a);

x=a/180.0*3.14;
printf("\n angle in radian = %f \n\n",x) ;
sum=0.0;


for (i=0;i<=n;i++){
printf("\n\n\n Term = %d ",i);
k=2*i;
printf("\n sign = %f ",pow(-1,i)) ;
printf("\n% angle to the power 2 times %d = %f ",i,pow(x,k)) ;
printf("\n factorial of 2 times %d = %d ",i,fact(k)) ;

sum=sum+pow(-1,i)*(pow(x,k)/fact(k));

}

printf("\n\n cos(%d) = %f \n\n",a,sum);
system("pause");
}while (1 !=2);

}

Answer 2

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Answer 3

Although it is possible, you must bound your factorials so they do not overflow.

16! is 20922789888000.

An unsigned long will go up to 18,466,744,073,709,551,615, so your precision could only go to 16!, since 32! would be too large.

Write a factorial function (this can be done iteratively or recursively) and you can write a power function (same thing.. iterative or recursive).

Best of luck.