Solve the Problem $d$ From a Long Wall $d$ Is Given By $\mathrm { d } = 4 \tan 2 \pi \mathrm { t }$

Multiple Choice

Solve the problem.
-A rotating beacon is located a distance $d$ from a long wall. The distance $d$ is given by $\mathrm { d } = 4 \tan 2 \pi \mathrm { t }$ ,
where $t$ is the time measured in seconds since the beacon started rotating. Solve the equation for $t$ .

A) $\mathrm { t } = \frac { 1 } { 2 \pi } \arctan \frac { \mathrm { d } } { 4 }$
B) $t = 2 \pi \tan \frac { d } { 4 }$
C) $\mathrm { t } = \frac { 1 } { 2 \pi } \tan \frac { \mathrm { d } } { 4 }$
D) $\mathrm { t } = 2 \pi \arctan \frac { \mathrm { d } } { 4 }$