import java.awt.*;
import java.applet.*;
public class graphic extends Applet {
Button button1;
public void init() {
}
public void paint(Graphics g) {
int CYCLE=4;
int MAX = 1000;
int x1=0;
int x2=0;
g.setColor(Color.red);//color for axes
g.drawLine(0,150,700,150);//x-axis
g.drawLine(240,0,240,500);//y-axis
g.drawString("X-Axis", 430,140);//Label for x-axis
g.drawString("Y-Axis",200,270);//Label for y-axis
g.setColor(Color.blue);//color for the sin curve
for (int i=-130;i<=368;i++)
{
try
{
Thread.sleep(10); // 10 millisecond delay
}
catch(InterruptedException e)
{
e.printStackTrace();
}
x1 = (int)(100 * Math.sin(((i)*2*Math.PI*CYCLE)/(MAX)));
x2 = (int)(100 * Math.sin(((i+1)*2*Math.PI*CYCLE)/(MAX)));
g.drawLine(i+121,x1+138,(i+1)+121,x2+138);
}
g.setFont(new Font("Times New Roman",Font.BOLD,15));
g.drawString("IT WORKS ; )",100,50); }
}
//Here is the code
import java.awt.*;
import java.applet.*;
public class graphic extends Applet {
Button button1;
public void init() {
}
public void paint(Graphics g) {
int CYCLE=4;
int MAX = 1000;
int WEIGHT = 100;
int x1=0;
int x2=0;
g.setColor(Color.red);//color for axes
g.drawLine(0,150,700,150);//x-axis
g.drawLine(240,0,240,500);//y-axis
g.drawString("X-Axis", 430,140);//Label for x-axis
g.drawString("Y-Axis",200,270);//Label for y-axis
g.setColor(Color.blue);//color for the sin curve
for (int i=-130;i<=368;i++)
{
try
{
Thread.sleep(10); // 10 millisecond delay
}
catch(InterruptedException e)
{
e.printStackTrace();
}
x1 = (int)(WEIGHT * Math.sin(((i)*2*Math.PI*CYCLE)/(MAX)));
x2 = (int)(WEIGHT * Math.sin(((i+1)*2*Math.PI*CYCLE)/(MAX)));
g.drawLine(i+121,x1+138,(i+1)+121,x2+138);
}
g.setFont(new Font("Times New Roman",Font.BOLD,15));
g.drawString("IT WORKS ; )",100,50); }
}
//Here is the code
Keep in mind that the MAX is really the maximum difference between the min-x and max-x values.
For example, if you can go from -100 to 100 in your graph, MAX should be the difference of the two, resulting in MAX = 200
Edit: Added an int named WEIGHT that controls the peak and valley of your sin graph. The greater the WEIGHT the deeper and steeper your waves, the lower the WEIGHT the more subtle your graph will be.
Offline 
Though because of the nature of a Sin graph, one did not have to consider the changed between graphics and the Cartesian plane. On the screen y increases as we move down, however, on the Cartesian plane, y increase as we move up. Something to consider if ever you needed to draw, say a straight line.
Marked 
