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I know the code is simple, but how do I make it work?

+9 votes
asked Jan 9, 2022 by Alexandr (300 points)
double mycos(double x,double eps)
    double s,an;
    int n;
    return s;

1 Answer

+6 votes
answered Jan 9, 2022 by Peter Minarik (88,520 points)
selected Jan 10, 2022 by Alexandr
Best answer

What do you mean by "make it work"?

Using your function in the following scenario seems to work.

#include <stdio.h>
#include <math.h>

#define PI 3.1415926535897932384626433832795

double mycos(double x, double eps)
    double s = 0.0
    double an = 1.0;
    int n = 0;
    while (fabs(an) > eps)
         s += an;
         an *= - x * x / (2.0 * n - 1.0) / (2.0 * n); 
    return s;

int main()
    printf("cos(60) = %lf\n", mycos(PI / 3, 0.1));
    return 0;

And the result is

cos(60) = 0.451689

It seems to be more or less correct (with a certain error level).

You can test it with various inputs and see where it makes mistakes (for instance instead of using PI / 3 radians, using 60 radians returns a wrong value). (Note: first I thought it calculates in degrees, hence I used 60 radians -- which I wrongly thought was 60 degrees and that's how I found this input to produce erroneous output.)

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