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  • Listing 1 . Conversions between radians and degrees.
  • Listing 2 . Arcsin of 3-4-5 triangle.
  • Listing 3 . Finding length of the opposite side.
  • Listing 4 . Arccosine of 3-4-5 triangle.
  • Listing 5 . Finding the length of the adjacent side.
  • Listing 6 . Arctan of 3-4-5 triangle.
  • Listing 7 . Finding the length of the opposite side.
  • Listing 8 . Sinusoidal amplitude versus angle.
  • Listing 9 . A function to deal with quadrants.

Supplemental material

I recommend that you also study the other lessons in my extensive collection of online programming tutorials. You will find a consolidated index at www.DickBaldwin.com .

General background information

Many of the computational requirements for an introductory physics course involve trigonometry. This module provides a brief tutorial on trigonometry fundamentals that is designed to be accessible to blind students.

Sine, cosine, and tangent

There are many topics, such as identities, that are covered in an introductory trigonometry course that won't be covered in this module. Instead,this module will concentrate mainly on performing computations on right angles using the sine, cosine, and tangent of an angle.

If I find it necessary to deal with identities in a later module, I will come back and update this module accordingly.


Download files

You will need to download two svg graphics files to complete the work in this module. Click this link to download a zip file named Phy1020.zip containing those svg files.

If you don't already have it, you may also need to download and install the free IVEO Viewer software. As of this writing, the Viewer is available fordownloading at (External Link) .

Graph board and protractor

Unless you can create tactile graphics on paper, you will need your graph board and your protractor to perform the exercises in this module. Please prepare your graph board with perpendicular horizontaland vertical axes with the origin located near the center of the graph board.

Degrees versus radians

The most common unit of angular measurement used by the general public is the degree. As you are probably aware, there are 360 degrees in a circle.

The most common unit of angular measurement used by scientists and engineers is theradian.

(If you would like more background on radians, go to (External Link) .)

Conversions between radians and degrees

You may or may not be aware that one radian is equal to approximately 57.3 degrees. It is easier to remember, however, that 180 degrees is equal to PIradians where PI is the mathematical constant having an approximate value of 3.14159. We will use this latter relationship extensively to convert fromdegrees to radians and to convert from radians to degrees while working through the exercises in these modules.

An exercise involving degrees and radians

Let's do a short exercise involving degrees and radians. Please create an html file containing the code shown in Listing 1 and open it in your browser.

Listing 1 . Conversions between radians and degrees.
<!-- File JavaScript01.html --><html><body><script language="JavaScript1.3">function toRadians(degrees){ return degrees*Math.PI/180}//end function toRadians //============================================//function toDegrees(radians){ return radians*180/Math.PI}//end function toDegrees //============================================//var degrees = 90 var radians = toRadians(degrees)document.write("degrees = " + degrees + " : radians = " + radians + "</br>") radians = 1degrees = toDegrees(radians) document.write("radians = " + radians +" : degrees = " + degrees + "</br>") radians = Math.PIdegrees = toDegrees(radians) document.write("radians = " + radians +" : degrees = " + degrees)</script></body></html>

Questions & Answers

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 to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket 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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Accessible physics concepts for blind students. OpenStax CNX. Oct 02, 2015 Download for free at https://legacy.cnx.org/content/col11294/1.36
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