Find the Solution to the Differential Equation $\frac { d y } { d x } = x \sec y$

Multiple Choice

Find the solution to the differential equation $\frac { d y } { d x } = x \sec y$ if $y = \frac { \pi } { 6 }$ when x = 1.

A) $2 y = \arccos \left( \frac { x ^ { 2 } } { 2 } \right)$
B) $\frac { 3 } { 2 } y = \arctan ( x )$
C) $y - \frac { \pi } { 6 } = \arccos ( x )$
D) $y = \arcsin \left( \frac { x ^ { 2 } } { 2 } \right)$