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A lot of data points

Once again, every other line of text in Figure 15 contains new sine and cosine values for angles that you don't have plotted yet.

Plotting all of these point is going to require a lot of pushpins and a lot of effort. Before you do that, let's think about it.

Two full cycles

You should have been able to discern by now that your plots for the sine and cosine graphs each contain two full cycles. An important thing aboutperiodic functions is that once you know the shape of the curve for any one cycle, you know the shape of the curve for every cycle from minus infinity to infinity. Theshape of every cycle is exactly the same as the shape of every other cycle.

Saving pushpins and effort

If you are running out of pushpins or running out of patience, you might consider updating your plots for only one cycle.

You should be able to discern that your curves no longer have a saw tooth shape. Each time we have run the script, we have sampledthe amplitude values of each curve at twice as many points as before. Therefore, the curves should be taking on a smoother rounded shape that is betterrepresentation of the actual shape of the curves.

Continue the process

You can continue this process of improving the curves for as long as you have the graph board space, pushpins, and patience to do so. Just divide the value of the variable named angInc by a factor of two and rerun the script. That will produce twice as many data points that are only half as far apart on thehorizontal axis.

If you choose to do so, you can plot only the new points in one-half of a cycle to get an idea of the shape. By now you should have discerned that each half of a cycle has the same shape, only onehalf is above the horizontal axis and the other half is a mirror image below the axis.

Plot of cosine and sine curves

Getting back to tactile graphics, for the benefit of any sighted person that may be assisting you, Figure 16 shows a cosine curve plotted above a sine curve very similar to the curves that you have plotted on your graph board.( Figure 16 shows a mirror image of the actual curves because the file named Phy1020a1.svg is intended to be used for manual embossing from the back of thepaper.) A non-mirror-image version is shown in Figure 20 .

Figure 16 . Mirror image plot of cosine and sine curves from the file named Phy1020a1svg.
missing image

This image contains lines that aren't straight, but with a little care, your assistant should be able to do a reasonably good job of embossing them whenthe image is printed as the full 8.5x11 inch version.

Page setup

If you use the IVEO Viewer to print the file named Phy1020a1.svg, you should use the default Page Setup selection for Letter (Landscape).

Grid lines

The image in Figure 16 contains 7 vertical grid lines. The vertical grid line in the center represents an angle of zero degrees. The space between each gridline on either side of the center represents an angle of 90 degrees or PI/2 radians.

There are two horizontal grid lines. One is one-fourth of the way down from the top. The other is one-fourth of the way up from the bottom.

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
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