If (cos x)y = (sin y)x then \(\frac{\mathrm{d} y}{\mathrm{~d} x}\) is:
1
\(\frac{\log _{\mathrm{e}} \sin y-y \tan x}{\log _{\mathrm{e}} \cos x+x \cot y}\)
2
\(\frac{\log _{\mathrm{e}} \sin y+y \tan x}{\log _{\mathrm{e}} \cos x+x \cos y}\)
3
\(\frac{\log _{\mathrm{e}} \sin y+y \tan x}{\log _{\mathrm{e}} \cos x-x \cot y}\)
4
\(\frac{\log _{\mathrm{e}} \cos x-x \cos y}{\log _{\mathrm{e}} \sin y+y \tan x}\)