B Transform the system of trigonometric equations

AI Thread Summary
To extract variables l and L from the given system of trigonometric equations, the first step is to eliminate the arctans. By taking the ratio of the equations, a relationship between tan l and sin L can be established. This relationship allows for the elimination of one variable from the equations. Participants confirm that this discussion is not related to a homework problem. The outlined method provides a clear approach to solving the equations.
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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