Solve the Problem $\mathrm { V } = 166 \cos \left( 2 \pi \mathrm { ft } - \frac { \pi } { 6 } \right)$

Solve the problem.
-The output voltage of a generator is given by $\mathrm { V } = 166 \cos \left( 2 \pi \mathrm { ft } - \frac { \pi } { 6 } \right)$ . Express the voltage as the sum of a sine and a cosine function.

A) $\mathrm { V } = 83 \cos 2 \pi \mathrm { ft } + 83 \sin 2 \pi \mathrm { ft }$
B) $V = 83 \sqrt { 3 } \sin 2 \pi \mathrm { ft } + 83 \cos 2 \pi \mathrm { ft }$
C) $V = 83 \sqrt { 3 } \cos 2 \pi f \mathrm { ft } - 83 \sin 2 \pi \mathrm { ft }$
D) $\mathrm { V } = 83 \sqrt { 3 } \cos 2 \pi \mathrm { ft } + 83 \sin 2 \pi \mathrm { ft }$

Correct Answer:

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