Transform the system of trigonometric equations

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Discussion Overview

The discussion revolves around a system of trigonometric equations involving variables l and L. Participants explore methods for extracting these variables, focusing on the manipulation of arctangent functions and the relationships between tangent and sine.

Discussion Character

  • Technical explanation
  • Homework-related

Main Points Raised

  • Some participants suggest eliminating the arctans as a first step to simplify the equations.
  • There is a proposal to take the ratio of certain terms to derive a relationship between tan l and sin L, which could facilitate the elimination of one variable from the equations.
  • Participants confirm that the problem is not related to homework, indicating a focus on collaborative problem-solving.

Areas of Agreement / Disagreement

Participants generally agree that the problem is not a homework question, but there is no consensus on the best method to extract l and L from the equations.

Contextual Notes

The discussion does not clarify specific assumptions or dependencies related to the equations, nor does it resolve the mathematical steps involved in the proposed methods.

Who May Find This Useful

Individuals interested in trigonometric equations, mathematical problem-solving techniques, or collaborative discussions on technical challenges may find this thread useful.

Rmax
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How to extract l and L from the following system of equations:

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Please confirm that this is not a homework problem.
First step is to get rid of the arctans in the obvious way. Then taking the ratio you can get an equation relating tan l to sin L. You can use that to eliminate one of them from one of the equations.
 
haruspex said:
Please confirm that this is not a homework problem.
First step is to get rid of the arctans in the obvious way. Then taking the ratio you can get an equation relating tan l to sin L. You can use that to eliminate one of them from one of the equations.
No, it is not a homework.
 
Rmax said:
No, it is not a homework.
Ok, so can you follow the steps I posted?
 
haruspex said:
Ok, so can you follow the steps I posted?
I'll definitely try, thank you!
 

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