0.5 Phy1020: brief trigonometry tutorial  (Page 4/20)

 Page 4 / 20
• The origin
• x=3, y=0
• x=3, y=4

(If you are able to use the svg file mentioned below to create tactile graphics, it probably won't be necessary for you to do the graph-board exercise. You can explore the tactile graphics instead.)

The vertices of a right triangle

Each pushpin represents a vertex of a right triangle. If you enclose all three pushpins with a rubber band, you will have "drawn" a right triangle withits base on the horizontal axis.

The base of the triangle will have a length of three units. Another side of the triangle will have a length of four units. The hypotenuse of the triangle will have still another length.

The angle at the origin

The base and the hypotenuse will form an angle at the origin opening outward to the right. As mentioned before, the base will be on the horizontalaxis. The side that connects the base and the far end of the hypotenuse will be parallel to the vertical axis.

Names for the three sides of the right triangle

Lets establish some names for the three sides of the right triangle when located on the graph board in this manner.

We will continue to refer to the hypotenuse as the hypotenuse and abbreviate it hyp . We will refer to the base as the adjacent side relative to the angle at the origin and abbreviate it adj . We will refer to the third side as the opposite side relative to the angle at the origin and abbreviate it opp .

Tactile graphics -- the file named Phy1020b1.svg

Much of the material in the next several paragraphs will only make sense to you if you are very familiar with the module named Manual Creation of Tactile Graphics .

When you downloaded the zip file named Phy1020.zip using the link given above , you should have found that the zip file contains a file named Phy1020b1.svg.

The purpose of this file is to make it possible for you to create tactile graphics for the right triangle. The procedure for creating the tactilegraphics is explained in the earlier module named Manual Creation of Tactile Graphics .

Image from file Phy1020b1.svg

For the benefit of any sighted persons that may be assisting you, Figure 2 shows a reduced version of the graphic contained in the file named Phy1020b1.svg. This is a mirror image of the imagethat is to be presented to the student after embossing. A non-mirror-image version is presented in Figure 19 .

Figure 2 . Mirror image from file Phy1020b1.svg.

Page Setup information

If you use the IVEO Viewer software to print this svg file, you will need to set up the page by selecting Page Setup on the IVEO File menu. The Page Setup information for this file is shown in Figure 3 . These are the default settings for Letter (Portrait) in IVEO.

Figure 3 . Page Setup for file Phy1020b1.svg.
```Paper List: Letter (Portrait) Paper Width: 8.5 inchPaper Height: 11.0 inch Orientation: portraitLeft Margin: 0.75 inch Right Margin: 0.3 inchTop Margin: 0.75 inch Bottom Margin: 0.3 inch```

Braille keys

Note that the file named Phy1020b1.svg and Figure 2 contain keys using the characters from "m" through "z" and "A" that can be used to createBraille characters during manual embossing. The key characters are shown in an oblique font that is smaller than the normal text. The purpose of these keys isexplained in the earlier module titled Manual Creation of Tactile Graphics .

find the 15th term of the geometric sequince whose first is 18 and last term of 387
I know this work
salma
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
I rally confuse this number And equations too I need exactly help
salma
But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends
salma
Commplementary angles
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
hi
salma
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kkk nice
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or infinite solutions?
Kim
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Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
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China
Cied
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I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
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Uday
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what is nano technology
what is system testing?
preparation of nanomaterial
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what is system testing
what is the application of nanotechnology?
Stotaw
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Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
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the Beer law works very well for dilute solutions but fails for very high concentrations. why?
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