Solve the Differential Equation $$\frac { d y } { d x } = 8 x ^ { 7 } \sec y$$

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = 8 x ^ { 7 } \sec y$$

A) $y = \sin ^ { - 1 } \left( x ^ { 8 } + C \right)$
B) $y = \sin \left( x ^ { 8 } + C \right)$
C) $y = \cos ^ { - 1 } \left( x ^ { 8 } + C \right)$
D) $y = x ^ { 8 } + C$