A curve passes through the point (1,π/6). Let the slope of the curve at each point (x, y) be y/x + sec (y/x), x > 0. Then the equation of the curve is
(A) sin(y/x) = log x + 1/2
(B) cosec (y/x) = log x + 2
(C) sec (2y/x) = log x + 2
(D) cos (2y/x) = log x + 1/2
