Solve the equation for x, where x is restricted to the given interval.
-$y = 4 \cot \frac { x } { 2 }$, for $x$ in $( 0,2 \pi )$

Question

Quizplus · Accepted Answer

To solve for $x$, we start with the given equation $y = 4 \cot \frac{x}{2}$. To isolate $x$, we first take the cotangent inverse of both sides, which gives us $\frac{x}{2} = \operatorname{arccot} \frac{y}{4}$. Multiplying both sides by 2 to solve for $x$ gives $x = 2 \operatorname{arccot} \frac{y}{4}$, which matches choice B.

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