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Listings

  • 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.

Discussion

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

Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
what
Renee
what is this
Renee
is a drug
Kamara
of anti-ulcer
Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
what is anatomy
Oyindarmola Reply
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Oyerinde Reply
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Mohammed Reply
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
Wulku Reply
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
Ali Reply
function of digestive
Ali
the diagram of the lungs
Adaeze Reply
what is the normal body temperature
Diya Reply
37 degrees selcius
Xolo
37°c
Stephanie
please why 37 degree selcius normal temperature
Mark
36.5
Simon
37°c
Iyogho
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
37A c
Wulku
what is anaemia
Diya Reply
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
Diya Reply
how does Lysin attack pathogens
Diya
acid
Mary
I information on anatomy position and digestive system and there enzyme
Elisha Reply
anatomy of the female external genitalia
Muhammad Reply
Organ Systems Of The Human Body (Continued) Organ Systems Of The Human Body (Continued)
Theophilus Reply
what's lochia albra
Kizito
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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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