Solve the equation for x, where x is restricted to the given interval.
-$y = \cos ( x + 12 )$, for $x$ in $[ - 12 , \pi - 12 ]$
A) $x = \arccos ( y + 12 )$
B) $x = \arccos y - 12$
C) $x = \arccos y + 12$
D) $x = \arccos ( y - 12 )$

Question

Quizplus · Accepted Answer

To solve for $x$, we isolate $x$ on one side of the equation: $x = \arccos(y) - 12$. This is because when we take the inverse cosine ($\arccos$) of both sides, we get $x + 12 = \arccos(y)$, and then subtracting 12 from both sides gives $x = \arccos(y) - 12$.

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