Solve the equation for x, where x is restricted to the given interval.
-$3 y = \tan 6 x$, for $x$ in $\left( - \frac { \pi } { 12 } , \frac { \pi } { 12 } \right)$
A) $x = 6 \arctan \frac { y } { 3 }$
B) $x = \frac { 1 } { 2 } \arctan y$
C) $x = 2 \arctan y$
D) $x = \frac { 1 } { 6 } \arctan 3 y$

Question

Quizplus · Accepted Answer

To solve for $x$, we first isolate $x$ in the equation $3y = \tan(6x)$. We get $x = \frac{1}{6} \arctan(3y)$, which matches choice D.

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