Use the Cofunction Identities to Find an Angle That Makes $\mathrm { V } = 158 \cos \left( 2 \pi \mathrm { ft } - \frac { \pi } { 6 } \right)$

question 140

Multiple Choice

Use the cofunction identities to find an angle that makes the statement true.
-The output voltage of a generator is given by $\mathrm { V } = 158 \cos \left( 2 \pi \mathrm { ft } - \frac { \pi } { 6 } \right)$ . Express the voltage as the sum of a sine and a cosine function.

• A) \(V = 79 \sqrt { 3 } \cos 2 \pi \mathrm { ft } + 79 \sin 2 \pi \mathrm { ft }\)
• B) \(V = 79 \sqrt { 3 } \sin 2 \pi \mathrm { ft } + 79 \cos 2 \pi \mathrm { ft }\)
• C) \(V = 79 \cos 2 \pi \mathrm { ft } + 79 \sin 2 \pi \mathrm { ft }\)
• D) \(V = 79 \sqrt { 3 } \cos 2 \pi \mathrm { ft } - 79 \sin 2 \pi \mathrm { ft }\)

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