If xy = ysinx (tan x)cosx, then \(\left( {\log x - \frac{{\sin x}}{y}} \right)\frac{{dy}}{{dx}}\) =
1
cos x log y - sin x log (tan x) + cosec x - \(\rm\frac{y}{x}\)
2
cos x log y - sin x log (tan x) + cos2 x cosec x - \(\rm\frac{y}{x}\)
3
\(\rm\frac{cos x}{x}\)- sin2 x sec x
4
cos x - sin2 x sec x