Solve Complicated Equation: K1=tan(K2*x)/tan(K3*x)

  • Context: Undergrad 
  • Thread starter Thread starter twowheelsbg
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Discussion Overview

The discussion revolves around the equation K1=tan(K2*x)/tan(K3*x) and the challenges participants face in solving it for 'x'. The focus includes numerical methods, software recommendations, and the limitations of algebraic solutions.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant expresses difficulty in solving the equation for 'x' and seeks software solutions for approximation.
  • Another participant suggests using WxMaxima as a powerful freeware option for solving such equations.
  • A different participant notes that there is no algebraic method to solve for 'x' and implies that numerical solutions may not be unique.
  • A later reply mentions a workaround using Microsoft Excel by substituting 'x' with another variable, allowing the goal search feature to function correctly.

Areas of Agreement / Disagreement

Participants generally agree that the equation cannot be solved algebraically and that numerical methods are necessary. However, there is no consensus on the uniqueness of the solutions.

Contextual Notes

The discussion highlights limitations related to the algebraic solvability of the equation and the dependency on numerical methods, which may vary based on coefficient values.

Who May Find This Useful

This discussion may be useful for individuals looking for numerical solutions to trigonometric equations, particularly in the context of using software tools for approximation.

twowheelsbg
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Hi all,

I have a complicated equatation :
K1=tan(K2*x)/tan(K3*x)

since i can not solve it for 'x',
i tried using the Microsoft Exell feature : Tools --> Gool Seek ,
but this method does not work for some values for the coeficients.

Could someone provide link to free software,
solving that kind of equation by approximation ?

p.s. i saw this section of the forum is not for such questions, so
mods may move my subject if deemed necessery
 
Last edited:
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Search for WxMaxima...its freeware and very powerful
 
There's no algebraic way to solve for x; any solution of that would have to be done numerically. I'm guessing that in most cases there isn't a unique solution, either.
 
Thanks, guys!

I managed to trick the MS Exell by substitution 'x' with another variable,
which is dependent of the coefficient and times per 'x', so the ms exell 'goal search' increment
now works fine without jumping over the right solution.

Anyhow I will check the freeware mentioned.

Regards
 

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