Transform the system of trigonometric equations

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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.
 
haruspex said:
Ok, so can you follow the steps I posted?
I'll definitely try, thank you!