Solve the equation for x, where x is restricted to the given interval.
-$y = \sin x - \pi$, for $x$ in $\left[ - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right]$

Question

Quizplus · Accepted Answer

To solve for $x$, we need to isolate $x$ on one side of the equation. Starting with $y = \sin x - \pi$, we add $\pi$ to both sides to get $y + \pi = \sin x$. Then, we apply the inverse sine function ($\arcsin$) to both sides to isolate $x$, resulting in $x = \arcsin(y + \pi)$.

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