# 0.5 Phy1020: brief trigonometry tutorial  (Page 2/20)

 Page 2 / 20

## 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

how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
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.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
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
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
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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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