Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral

01102021, 04:17 PM
Post: #1




Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral
Introduction
The program ESGRAPH plots the parametric equations containing integrals: x(t) = ∫(cos f(x) dx, x = 0 to t) y(t) = ∫(sin f(x) dx, x = 0 to t) The program uses f(x) = a*x^p When p = 2, the curve is a Euler Spiral (see source). Casio fx9750GIII Program: ESGRAPH Code:
For examples and more details, visit my blog at Eddie's Math and Calculator blog: http://edspi31415.blogspot.com/2021/01/c...etric.html 

01142021, 04:30 PM
Post: #2




RE: Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral
CASIO`s 20yearold graphing calculators can handle this example. What does 9750GIII have to do with it? Is that a demonstration of the new Menu function, which was introduced in the TI calculators back in 1994?


01162021, 03:15 PM
Post: #3




RE: Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral
The fx9750GIII was the calculator I used for this particular post. Of course it isn't the only calculator that this can be done on?


01172021, 03:34 AM
Post: #4




RE: Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral
(01162021 03:15 PM)Eddie W. Shore Wrote: The fx9750GIII was the calculator I used for this particular post. Thanks for sharing, your posts are always informative and fun to read Everything will be alright in the end. If it's not alright, then it's not the end. 

01172021, 08:29 AM
Post: #5




RE: Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral
(01172021 03:34 AM)Nad Wrote:(01162021 03:15 PM)Eddie W. Shore Wrote: The fx9750GIII was the calculator I used for this particular post. "for the Mathematically Curious" is a nice qualifier! (From the citation in the article) 

01172021, 06:56 PM
Post: #6




RE: Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral  
01172021, 07:49 PM
Post: #7




RE: Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral
Thanks for sharing this  I just picked up the Fx9750GIII , mostly for the python support. Its been fun to play with.
I did enter the program for the ESGraph Plots from your post and initially had an issue when it came to plotting the values. I think the for loop needs to have the integrals for X,Y vary by the step value defined for T  Basically if you change ∫(A×cos(X^P),0,2π)→X to ∫(A×cos(X^P),0,T)→X and ∫(A×sin(X^P),0,2π)→Y to ∫(A×sin(X^P),0,T)→Y I get the graphs shown on your blog. Apologies if this was obvious to all. Thanks and regards for making the effort  I do enjoy reading your posts here and on your blog. Dave 

01172021, 08:16 PM
(This post was last modified: 01172021 08:17 PM by Steve Simpkin.)
Post: #8




RE: Casio fx9750GIII: Trigonometric Integral Graphs, including The Euler Spiral
(01172021 07:49 PM)davej Wrote: Thanks for sharing this  I just picked up the Fx9750GIII , mostly for the python support. Its been fun to play with. It should also be noted that KhiCAS is now available on the Casio Fx9750GIII (thank you Parisse!) giving it a CAS that is similar to the one in the HP Prime (same Xcas engine). https://www.cemetech.net/forum/viewtopic...783#286192 

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