Solve the Equation for Exact Solutions $\mathrm { d }$ From a Long Wall

question 226

Multiple Choice

Solve the equation for exact solutions.
-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) \(\mathrm { t } = \frac { 1 } { 2 \pi } \arctan \frac { \mathrm { d } } { 2 }\)
• B) \(\mathrm { t } = 2 \pi \tan \frac { \mathrm { d } } { 2 }\)
• C) \(\mathrm { t } = 2 \pi \arctan \frac { \mathrm { d } } { 2 }\)
• D) \(\mathrm { t } = \frac { 1 } { 2 \pi } \tan \frac { \mathrm { d } } { 2 }\)

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