# 5.1 Phy1020: brief trigonometry tutorial  (Page 13/20)

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Figure 12 . Output for script in Listing 7.
```opposite = 3.9999851132269173 adjacent = 3```

Very similar code

The code in Listing 7 is very similar to the code in Listing 3 and Listing 5 . The essential differences are that

• Listing 3 uses the sine along with the opposite side and the hypotenuse.
• Listing 5 uses the cosine along with the adjacent side and the hypotenuse.
• Listing 7 uses the tangent along with the opposite side and the adjacent side.

You should be able to work through those differences without further explanation from me.

The cotangent of an angle

There is also something called the cotangent of an angle, which is simply the ratio of the adjacent side to the opposite side. If you know how to work withthe tangent, you don't ordinarily need to use the cotangent, so I won't discuss it further.

Computing length of opposite side with the Google calculator

We could also compute the length of the opposite side using the Google calculator.

The length of the opposite side -- sample computation

Enter the following into the Google search box:

3*tan(53.1301024 degrees)

The following will appear immediately below the search box:

3 * tan(53.1301024 degrees) = 4.00000001

Up to this point, we have dealt exclusively with angles in the range of 0to 90 degrees (the first quadrant). As long as you stay in the first quadrant, things are relatively straightforward.

As you are probably aware, however, angles can range anywhere from 0 to 360 degrees (or more). Once you begin working with angles that are greater then 90 degrees,things become a little less straightforward.

Another svg file

When you downloaded the zip file named Phy1020.zip using the link given above , you should also have found that the zip file contains a file named Phy1020a1.svg.

The purpose of this file is to make it possible for you to create tactile graphics for sine and cosine curves using the procedure explained in the earliermodule named Manual Creation of Tactile Graphics .

If you have the ability to create tactile graphics, you don't need to perform the work in the following graph board exercise. However, you shouldread about it anyway because that will probably help you to better understand the sine and the cosine of an angle.

I will get back to tactile graphics after I describe the graph board exercise.

Another graph board exercise

In this graph board exercise, we will plot a graph of the amplitude of the sine of an angle on the vertical axis versus the angle itself onthe horizontal.

We will also do the same thing for the cosine. It would be very good if you could plot one curve on the top half of your graph board and the other curve onthe bottom half of your graph board so that you can easily compare the two.

Interpreting gridline values

Since I don't know how many tactile grid lines there are on your graph board, I can't tell you exactly how to interpret the grid lines so as to make maximumuse of the space on the board. All that I can tell you is that the vertical amplitude values for each curve will range from -1.0 to +1.0. We would like toplot values from -360 degrees to + 360 degrees on the horizontal. You should interpret the values of the gridlines on your graph board accordingly.

where we get a research paper on Nano chemistry....?
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
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
how did you get the value of 2000N.What calculations are needed to arrive at it
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