**here is the problem:**

-user enters "degree" and a "threshold" value

-degree is converted to radians(with a static method)

-computing the approximation as long as the absolute value of the series element is greater than the threshold

series: i.imgur.com/GRsIP.png

-Error is computed as absolute difference of approximation and the value of cos(x)

-//Write a static method that takes threshold value as a parameter and compute and return series approximation. Write another static method that take series approximated value as a parameter; compute and display error accordingly.

**An example:**

Enter 'x' in degrees: 60

Enter the threshold value: 0,1

A(x) : 0.45168864438392464

cos(x) : 0.5000000000000001

Error : 0.04831135561607547

**I cannot get the A(x) value from that method and it returns 0.0 on the print screen**

```
import java.util.Scanner;
public class Trial03
{
static double sum = 0;
static double radian;
//converting to radians method
public static double toRadian(int degree)
{
return (degree*Math.PI)/180;
}
//factorial method
public static int fact(int k)
{
int fct = 1;
for ( int i = 1; i<=k;i++)
fct = fct * i;
return fct;
}
//threshold calculator method
public static double thrCalc(double threshold,double x)
{
double r1 = 1;
double result = 0;
for (int i = 0; r1<threshold; i++)
{
//double result = 0;
result = Math.pow(-1,i) * ((Math.pow(x,i*2))/fact(i*2));
sum = sum + result;
sum = r1;
}
return sum;
}
//main method
public static void main( String[] args)
{
Scanner scan = new Scanner( System.in);
// VARIABLES
int degree;
double treshold;
double error;
// PROGRAM CODE
System.out.print( "Enter 'x' in degrees: ");
degree = scan.nextInt();
System.out.print( "Enter the threshold value: ");
treshold = scan.nextDouble();
double sonuc = thrCalc(treshold);
System.out.println("A(x)\t: " + sonuc);
System.out.println("cos(x)\t: " + Math.cos(toRadian(degree)));
error = sonuc - Math.cos(toRadian(degree));
System.out.println("Error\t: " + Math.abs(error));
}
}
```