3. Write a C program that reads the value of angle x in radians (360 degrees = 2

Question

3. Write a C program that reads the value of angle x in radians (360 degrees = 2 radians) then calls a function sin to find the sine trigonometric function by evaluating the following series for sin(x) to n terms (starting with x in the formula there, 4 terms have been shown, the others would simply follow the progression). The value of n would also be supplied by the user. sin(x) = x (x3 /3!) + (x5 /5!) (x7 / 7!) + ……. The output of your program should look something like the below text.

This program calculates the trigonometric sine for a given angle in radians! Enter the angle in radians: 0.5236 Enter the number of series terms that you would like to add up: 7 Value of sin(0.5236) = 0.5 Would you like to run the program again? (enter Y for yes, any other letter for no): Y Enter the angle in radians: 1.047 Enter the number of series terms that you would like to add up: 5 Value of sin(1.047) = .866 Would you like to run the program again? (enter Y for yes, any other letter for no): q Thanks for using the program. Bye!

Explanation / Answer

CODE 1:

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

using namespace std;

int factorial(int a);
int n,b;
int lngFract[20];
int main(){

system("PAUSE");

int m,i,j;
float z,y,x,sinx;
printf("input a value for x :");
scanf("%f",&x);
printf("d= %f",x);

system("PAUSE");

b=1;
n=1;
j=3;
m=2;
i=1;
sinx=0;

while (i<5){
if (i == 1)
sinx = sinx + x;
else
{
z = pow(x,m + 1);
//printf("x= %f",z);
n = factorial(j);
//printf("n= %d",n);
y = z/n;
//printf("y= %f",y);
m = m + 2;
j = j + 2;
sinx = sinx + y;
//printf("sin%f=%f",x, sin(x));
}
++i;
}
printf("sin%f=%f",x, sin(x));
system("PAUSE");
return EXIT_SUCCESS;
//scanf_s("%f",&x); return 0;
}

int factorial(int a)
{
//printf("d= %d",n);
if (b==1)
{
n =a;
lngFract[b-1] = a;
b++;
}
else
{
lngFract[b-1] = a;
n = lngFract[b-1] * n;
//printf("d= %d",n);
b++;
}
if (a > 1)
{
factorial (a-1);
}
b=1;
return n;
}

CODE 2

#include<stdio.h>

#include<math.h>

void sine(float*);

float fact(float);

void sine(float *x)

{

float i,j=0;

float sum=0;

for(i=1;i<8;i=i+2)

{

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

}

printf("%f",sum);

}

float fact(float i)

{

float f=1;

while(i>=1)

{

f=f*i;

i--;

}

return f;

}

void main()

{

float x;

printf("Enter x ");

scanf("%f",&x);

sine(&x);

}

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