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

---

Definitions:

Debits And Credits

The two sides of every financial transaction in double-entry bookkeeping; debits must equal credits for each entry to balance.

Alphabetic Order

A method of arranging items or information according to the sequence of the letters in the English alphabet.

Journal

A record where all financial transactions are initially noted in chronological order before being transferred to accounts in the ledger.

Transaction

A financial event or agreement that results in a change to the balance of two or more accounts within a company's financial records.