Solving trigonometric equation

Click For Summary
SUMMARY

The discussion focuses on solving a specific trigonometric equation involving parameters such as the speed of light (c), frequency (w), and others. The user seeks alternatives to using Fortran for this task. The recommendation is to utilize online tools for numeric solutions, which can simplify the process of plotting w(k//) while treating c, d, and Eps_b as constants.

PREREQUISITES
  • Understanding of trigonometric equations and their properties
  • Familiarity with parameters in physics, specifically speed of light (c) and frequency (w)
  • Basic knowledge of numeric solution methods
  • Experience with online graphing tools or software for plotting functions
NEXT STEPS
  • Explore online numeric solvers for trigonometric equations
  • Learn to use Python libraries such as NumPy and Matplotlib for plotting
  • Investigate MATLAB's capabilities for solving and visualizing trigonometric equations
  • Research the implications of varying parameters like Eps_b and d on the solution
USEFUL FOR

Mathematicians, physicists, and engineers who need to solve and visualize trigonometric equations, particularly those looking for modern alternatives to traditional programming languages like Fortran.

Nopollution
Messages
2
Reaction score
0
Hi guys,

I need to solve the following trigonometric equation. Some time ago I would have used Fortran with the appropriate libraries but now I was wondering whether there is any better approach. Any suggestion?

w^2/c^2= k//^2 - Sqrt(w^2 Eps_b^2/c^2 - k//^2) * Tan[Sqrt(w^2 Eps_b^2/c^2 - k//^2) * d/2]

where:
c= speed of light in vacuum
k//= variable
d= parameter
w= frequency
Eps_b= parameter

I need to plot w(k//) keeping in mind that "c", "d" and "Eps_b" are just parameters.


Cheers
 
Mathematics news on Phys.org
Use an online tool for a numeric solution.
 

Similar threads

High School Trigonometric Identity involving sin()+cos()
  • · Replies 11 ·
Replies
11
Views
2K
MHB Stuck solving a complex equation for T
  • · Replies 7 ·
Replies
7
Views
3K
MHB Couple of hard trig questions....
  • · Replies 1 ·
Replies
1
Views
2K
High School Trigonometric substitution, a case I'd like to share
  • · Replies 3 ·
Replies
3
Views
4K
High School Questions on Trigonometric equation solving
  • · Replies 14 ·
Replies
14
Views
4K
Undergrad Trouble Solving an Equation that has square roots on both sides
  • · Replies 1 ·
Replies
1
Views
2K
MHB Trigonometric Values Exact Values
  • · Replies 7 ·
Replies
7
Views
3K
MHB Finding the Equation of a Circle Passing Through Three Given Points
  • · Replies 7 ·
Replies
7
Views
3K
3d plot of interference from 2 wave sources with 2d grid surface
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving a System of Nonlinear Equations Symbolically
  • · Replies 9 ·
Replies
9
Views
3K