(Writing to a file). A damped sine wave is a sinusoidal function whose amplitude

Question

(Writing to a file). A damped sine wave is a sinusoidal function whose amplitude approaches zero as time increases.

Y(t)= e^-t (sin(2pit))

Write a program that will generate a data file containing 100 data points using the damped sine function above. Use the following formula for time:

Where 1 k 100.

Each record in your file will have two fields, time and the value of Y(t). Save your file with the name damped_sinusoidal.txt.

You can make use of the following math library functions:

            sin(x) -> returns the sine of a radian angle x.

            exp(x) -> returns the value of e raised to the xth power.

Program must be written in C. Thanks!

Explanation / Answer

#include<stdio.h>
#include<math.h>
#define PI 3.14
int main(){
   float k, t, s, e;
   FILE *fp;
   fp = fopen("sindata.txt", "w");
  
   for(k=1;k<=100;k++){
       t = (k-1)/10;
       s = sin(2 * PI * t);
       e = exp( - t * s); //use this if the formula states whole -t * sin(2 * PI * t) raise to e
//e = exp(-t) * s;
       fprintf(fp, "%f %f ", t, e);
   }
  
   fclose(fp);
}

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