# 0.5 Phy1020: brief trigonometry tutorial

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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.

## General

This module is part of a collection of modules designed to make physics concepts accessible to blind students.

If you opened this page in the context of the book, a Table of Contents for the book (or collection) should be available above and to the left of thisparagraph. Otherwise, click here to open the book at the beginning.

This book is intended to supplement but not to replace the textbook in an introductory high school or college physics course.

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

## Prerequisites

In addition to an Internet connection and a browser, you will need the following tools (as a minimum) to work through the exercises in these modules:

• A graph board for plotting graphs and vector diagrams ( (External Link) ).
• A protractor for measuring angles ( (External Link) ).
• An audio screen reader that is compatible with your operating system, such as the NonVisual Desktop Access program (NVDA), which is freelyavailable at (External Link) .
• A refreshable Braille display capable of providing a line by line tactile output of information displayed on the computer screen( (External Link) ).
• The ability to create tactile graphics as described here .

The minimum prerequisites for understanding the material in these modules include:

• A good understanding of algebra.
• An understanding of the use of a graph board for plotting graphs and vector diagrams ( (External Link) ).
• An understanding of the use of a protractor for measuring angles ( (External Link) ).
• A basic understanding of the use of sine, cosine, and tangent from trigonometry ( (External Link) ). (The purpose of this module is to help you to gain such an understanding.)
• An introductory understanding of JavaScript programming ( (External Link) and (External Link) ).
• An understanding of all of the material covered in the earlier modules in this collection.
• An understanding of the manual creation and use of tactile graphics as described here .

## Viewing tip

I recommend that you open another copy of this document in a separate browser window and use the following links to easily find and view the figuresand listings while you are reading about them.

## Figures

• Figure 1 . Output for script in Listing 1.
• Figure 2 . Mirror image from file Phy1020b1.svg.
• Figure 3 . Page Setup for file Phy1020b1.svg.
• Figure 4 . Text values for Braille keys in file Phy1020b2svg.
• Figure 5 . Output for script in Listing 2.
• Figure 6 . Output for script in Listing 3.
• Figure 7 . Interesting sine equations.
• Figure 8 . Interesting cosine equations.
• Figure 9 . Output for script in Listing 5
• Figure 10 . Two very important equations.
• Figure 11 . Interesting tangent equations.
• Figure 12 . Output for script in Listing 7.
• Figure 13 . Sinusoidal values at 90-degree increments.
• Figure 14 . Sinusoidal values at 45-degree increments.
• Figure 15 . Sinusoidal values at 22.5-degree increments.
• Figure 16 . Mirror image plot of cosine and sine curves from the file named Phy1020a1svg.
• Figure 17 . Algebraic signs versus quadrants.
• Figure 18 . Output from the code in Listing 9.
• Figure 19 . Normal image from file Phy1020b1.svg.
• Figure 20 . Normal image plot of cosine and sine curves from the file named Phy1020a1svg.

what is the stm
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?
what is a peer
What is meant by 'nano scale'?
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
what is Nano technology ?
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
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
Lily
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
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.
Tarell
what is the actual application of fullerenes nowadays?
Damian
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.
Tarell
how did you get the value of 2000N.What calculations are needed to arrive at it
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