Verify That the Equation Is an Identity $\mathrm { V } = 164 \cos \left( 2 \pi \mathrm { ft } - \frac { \pi } { 6 } \right)$

question 445

Multiple Choice

Verify that the equation is an identity.
-The output voltage of a generator is given by $\mathrm { V } = 164 \cos \left( 2 \pi \mathrm { ft } - \frac { \pi } { 6 } \right)$ . Express the voltage as the sum of a sine and a cosine function.

• A) \(V = 82 \sqrt { 3 } \cos 2 \pi f t - 82 \sin 2 \pi f t\)
• B) \(\mathrm { V } = 82 \cos 2 \pi \mathrm { ft } + 82 \sin 2 \pi \mathrm { ft }\)
• C) \(\mathrm { V } = 82 \sqrt { 3 } \sin 2 \pi \mathrm { ft } + 82 \cos 2 \pi \mathrm { ft }\)
• D) \(V = 82 \sqrt { 3 } \cos 2 \pi f t + 82 \sin 2 \pi f t\)

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