Solve the Equation for X, Where X Is Restricted to the Given

Solve the equation for x, where x is restricted to the given interval.
- $y = - 5 \sin 8 x$ , for $x$ in $\left[ - \frac { \pi } { 16 } , \frac { \pi } { 16 } \right]$

A) $x = \frac { 1 } { 8 } \arcsin \frac { y } { 5 }$
B) $x = - \frac { 1 } { 5 } \arcsin \frac { y } { 8 }$
C) $x = \frac { 1 } { 8 } \arcsin \left( - \frac { y } { 5 } \right)$
D) $x = \frac { 1 } { 5 } \arcsin \left( - \frac { y } { 8 } \right)$

Correct Answer:

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