I am resolving some trigonometric equation systems. A typical system (the following one is invented) could be:
$\sin(x) + \cos(y) = 1.5$
$2\sin(x) + 3\cos(y) = 1$
After getting the values, you just go to the unit circle and find the trigonometric solution.
However, I stumbled upon a different equation system (again invented system, I am not interested in the solution itself):
$\cot(x) + \cot(y) = 2$
$2\cot(x) + 3\cot(y) = 3.2$
Which I do not know how to proceed, since I cannot compare to the typical values found in the unit circle (sin/cos). What should I proceed after obtaining the values for $x [\cot(x)]$ and $y [\cot(y)]$$?