Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-A rotating beacon is located a distance $\mathrm { d }$ from a long wall. The distance $\mathrm { d }$ is given by $\mathrm { d } = 2 \tan 2 \pi \mathrm { t }$ , where $t$ is the time measured in seconds since the beacon started rotating. Solve the equation for $t$ .

A) $t = \frac { 1 } { 2 \pi } \arctan \frac { \mathrm { d } } { 2 }$
B) $t = \frac { 1 } { 2 \pi } \tan \frac { d } { 2 }$
C) $t = 2 \pi \arctan \frac { d } { 2 }$
D) $t = 2 \pi \tan \frac { \mathrm { d } } { 2 }$