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A cosine

The program named Cosine01 shown in Listing 20 produces the graphic output shown in Figure 12 .

Figure 12. Graphic output from the program named Cosine01.

Missing image

The only significant difference between this program and the program named Parabola01 is the method named function shown in Listing 14 .

Listing 14 . The method named function for Cosine01. double function(double xVal){ double yVal = Math.cos(2*Math.PI*xVal);return yVal; }//end function

This method evaluates and returns the y-value for each incoming x-value for a cosine function with no offset centered at the origin.

y = cos(2*pi*x)

Figure 12 shows two cycles of the cosine curve, which is periodic. When viewing Figure 12 , keep in mind that positive values go down the page. Thus the positive peak of the cosine function at the origin points down.

As in the previous section, that is probably all that needs to be said about the program named Cosine01 .

Run the programs

I encourage you to copy the code from Listing 15 through Listing 20 . Execute the code and confirm that you get the same results as those shown in in this lesson. Experiment with the code,making changes, and observing the results of your changes. Make certain that you can explain why your changes behave as they do.

Complete program listings

Complete listings of the programs discussed in this lesson are provided in Listing 15 through Listing 20 below.

Listing 15 . The program named Line01. /*File Line01 Copyright 2016 R.G.Baldwin ********************************************************************/import java.awt.Color; public class Line01{//Driver classpublic static void main(String[] args){Line01Runner obj = new Line01Runner(); obj.run();}//end main }//end class Line01//=================================================================// class Line01Runner{//Instantiate the World and Turtle objects. private World world = new World(300,300);private Turtle turtle = new Turtle(0,0,world); //---------------------------------------------------------------//public void run(){ //Make the turtle invisibleturtle.hide();//Prepare the pen turtle.setPenColor(Color.RED);turtle.setPenWidth(2);//Draw the axes in RED turtle.penUp();turtle.moveTo(world.getWidth()/2,0); turtle.penDown();turtle.moveTo(world.getWidth()/2,world.getHeight()); turtle.penUp();turtle.moveTo(world.getWidth(),world.getHeight()/2); turtle.penDown();turtle.moveTo(0,world.getHeight()/2); turtle.penUp();turtle.moveTo(0,0); //Prepare the scale factorsdouble xScale = 1.0*world.getWidth()/2; double yScale = 1.0*world.getHeight()/2;//Draw a line in BLUE. turtle.setPenColor(Color.BLUE);double slope = 1.0; double yIntercept = 0.0;drawLine(xScale,yScale,slope,yIntercept); //Draw another line in GREEN.turtle.penUp(); turtle.setPenColor(Color.GREEN);slope = -0.5; yIntercept = 0.5;drawLine(xScale,yScale,slope,yIntercept);//Draw another line in BLACK. turtle.penUp();turtle.setPenColor(Color.BLACK); slope = 2.0;yIntercept = -0.5; drawLine(xScale,yScale,slope,yIntercept);}//end run method //---------------------------------------------------------------////Method to draw a line given several incoming parameters that// describe the line and the plotting parameters. void drawLine(double xScale,double yScale,double slope,double yIntercept){ double yVal = 0;int row = 0; int col = 0;double xVal = -1.0;for(int cnt=0; cnt<=100;cnt++,xVal += 0.02){ //Get a y-value for a given x-value.yVal = function(xVal,slope,yIntercept);//Scale the x and y values to match the plotting surface col = (int)(xVal*xScale);row = (int)(yVal*yScale); //Move to the first point without drawing a line because the// pen is not down. Translate the origin to the center in the // process.turtle.moveTo(col + world.getWidth()/2, row + world.getHeight()/2);//Lower the pen in order to draw a line from each point to the// next point. turtle.penDown();}//end for loop }//end drawLine method//---------------------------------------------------------------////This method evaluates and returns the y-value for each x-value// for a line described by the equation // y = slope*x + yInterceptdouble function(double xVar,double slope,double yIntercept){ double yVar = (yIntercept) + (slope*xVar);return yVar; }//end function//---------------------------------------------------------------//}//end class Line01Runner

Questions & Answers

how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
what is inflammation
Shelly Reply
part of a tissue or an organ being wounded or bruised.
Wilfred
what term is used to name and classify microorganisms?
Micheal Reply
Binomial nomenclature
adeolu
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Source:  OpenStax, Object-oriented programming (oop) with java. OpenStax CNX. Jun 29, 2016 Download for free at https://legacy.cnx.org/content/col11441/1.201
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