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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

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
is it a question of log
Commplementary angles
Idrissa Reply
im all ears I need to learn
right! what he said ⤴⤴⤴
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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