Solve the equation for x, where x is restricted to the given interval.
-$$y = 7 \sin x \text {, for } x \text { in } \left[ - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right]$$
A) $x = \arcsin \frac { y } { 7 }$
B) $x = 7 \arcsin y$
C) $x = \frac { 1 } { 7 } \arcsin y$
D) $x = \arcsin 7 y$

Question

Quizplus · Accepted Answer

To solve for $x$, we isolate $x$ on one side of the equation: $x = \arcsin \frac { y } { 7 }$. This is the inverse operation of sine, applied to both sides of the equation, correctly isolating $x$.

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