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#1 2005-11-18 02:09:28

John Hagensieker
Guest

Graphical Display of Trig Functions.

Hi,

I'll apologize first for not being a math junkie however I test, and certify aircraft visual landing aids.  The math is simple triangle math and not the problem.  The problem is that once I work my glide slope numbers with elevations I have to make a depiction or drawing of the visual landing aid and it's slope.

Is there any kind of software that will allow me to input my equations and create a visual display?

For instance.....To test a glide slope beam a visual landing aid is placed 122.5' from the runway center and 750' from the end of the runway.  The aid projects a 3 degree beam.  We test the beam at 150'

so basically the formula is 1800" x tan (3) + 52" - (H2-H3)

1800*tan(3) gives me the beam height and 52" is how high the beam is from the ground.  H2-H3 is the difference in elevation between where you check the beam and where the visual landing aid is setting.

The math is easy money...........Drawing it for a technical report is not.  I'd love to input the equations and graphically display the results.  Pipe Dream?

Thanks,

John E. Hagensieker

#2 2005-11-18 08:49:04

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

Re: Graphical Display of Trig Functions.

Hi,

John Hagensieker wrote:

Is there any kind of software that will allow me to input my equations and create a visual display?

Math software? For me, these are the best options:

*** Texas Instruments' Derive ***
Currently at version 6, its very intuitive and has a command-line style. Can graph *simple* 2D and 3D equations on the fly but more complex problems can be hard to input. Great for high schools students.
It handles a more advanced math too, like number theory, non-trivial integration, matrix algebra, graph theory.
Can be expanded with "modules" (you can add your own functions and algorithms).

Belive me, it's so easy to use that I replaced my Windows calculator by this program

*** Maplesoft's Maple ***
I think it's currently in version 10, but I don't know much about this one. The symbolic manipulation is very easy and has a symbol recognition feature. Creates amazing interactive reports and sheets.
Try a demo and see if it serves your needs.

*** Matlab ***
This one is a must have if you work with science/research/I&D in general - allows integration with popular hardware and other products. You can develop a mathematical model for any problem and simulate it. From GUI's to repetitive calculations, gathering data, statistics... everything can be programmed and simulated. But mastering this software takes a while.

*** Wolfram's Mathematica      (/*bows*/) ***
This one I personnaly recommend if you have:
- the money to buy it *:)*
- the time to master it.
You can do, basically, everything - primitives, derivative, matrices, graphic representations, create and design math presentations (called "notebooks"),  *-algebras, graphs, strings, programming, number theory, combinatorics, numerical computation, diferential equations, 2d-3d graphs of anything - from random data to complex zeta functions, dynamical systems, differential geometry - you name it.
..Every day you find a new command or feature. It's just amazing.

But in the beginning it can be REALLY hard to interact with the program. So be prepared if you are choosing this one.

************
Here are the websites if you want to know more:
http://education.ti.com/us/product/soft … tures.html
http://www.maplesoft.com/
http://www.mathworks.com/
http://www.wolfram.com/

Good Luck!

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#3 2005-11-18 09:42:34

MathsIsFun
Registered: 2005-01-21
Posts: 7,657

Re: Graphical Display of Trig Functions.

Really great info for everyone ... thanks kylekatarn.

John, could you show us what your drawing has to look like when completed? (If you are a Member you can upload images, as a Guest you link to an image elsewhere on the net using the img tag)

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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