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

question 323

Multiple Choice

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) \(\mathrm { V } = 83 \sqrt { 3 } \cos 2 \pi \mathrm { ft } + 83 \sin 2 \pi \mathrm { ft }\)

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