Let
\(\frac{\sin x}{\cos y} + \frac{\sin y}{\cos x} = 1 \quad \text{and} \quad \frac{\cos x}{\sin y} + \frac{\cos y}{\sin x} = 6.\)
Find
\(\frac{\tan x}{\tan y} + \frac{\tan y}{\tan x}\)
Can somone please help me?
I have put around 5 hours of my own time into this porblem and I really need help. (Seriously I have the scratch paper to prove it).
