float sinVal;

int toneVal;

int k=0;

void setup () {

 pinMode(8,OUTPUT);

}

 void loop () {

 while (k< 2000){

 for (int x=0;x<180;x++) {

 // convert degrees to radians then obtain sin value

 sinVal = (sin(x*(3.1412/180)));

 // generate a frequency from the sin value

 toneVal = 2000+(int(sinVal*1000));

 tone(8, toneVal);

 k++;

 delay(2);

 }}

 for (int x=0;x<180;x++) {

 // convert degrees to radians then obtain sin value

 sinVal = (sin(x*(3.1412/180)));

 // generate a frequency from the sin value

 toneVal = 2000+(int(sinVal*1000));

 tone(8, toneVal);

delay(5);}

 }

To make the siren sound different every 5 seconds you change the  frequency to make a different sound and then you also change the delay to make it play a different sound. The higher the amplitude (the number in front of sin) the higher pitch the sound will be. 


Heres the link for the video:
https://drive.google.com/a/slsharks.net/folderview?id=0B6Ep8JcC1gm_dmc0cDZoNklBUWM&usp=sharing&tid=0B6Ep8JcC1gm_UkhBZi1GUjBzalk 
  

For tan(x) there is an asymptotes when cos=0 and the same thing goes for cos. When sin=0 there is an asymptote for csc. the period for sins and cosine are both 2 pie or 360 degrees. The amplitude  for sin and cosine are  1 

To use this unit circle thing you find the degree that you are looking for its sin, cos, tan, and radiant of. Once you find it you look at it's points and it x equals it cos and y equals sin and divide those two number to get the tan. The radiant well be written next to the degree on the circle.   

It would take about 42 folds to reach the moon while folding a piece of paper. This is so unrealistic because it gets hard to fold a piece of paper after 8 folds. The stack would be so small you would even be able to see it with the naked eye, therefore I do not think that how wide the stack is matters.  

A limit is the value that a function or sequence "approaches" as the input or index approaches some value. You can tell if a limit exists if both the limits from the right and left are approaching the same value. Limits help to explain function behavior at points of discontinuity because it shows the behavior of the limit as it approaches the value that show where the discontinuity is shown.  

If you know the factors here is how you get the zeros. You take the factor and set it to zero and solve for x, for example (x+2)=0 add the two to the other side. Now you have x=-2 and that is your zero. this is how factors and zeros are connected. When using division to find the factor of the first step is is to graph the polynomial and find the easy zeros. Next you take the easy zeros and synthetic divide those zeros out so you can plug the function into the quadratic formula and you got all the zeros!