# 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.

where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
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
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
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
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
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 ?
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
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