Solve the Problem $\mathrm { V } = 189 \sin 120 \pi \mathrm { t }$

question 452

Multiple Choice

Solve the problem.

-Suppose that for an electrical appliance, voltage is given by $\mathrm { V } = 189 \sin 120 \pi \mathrm { t }$ and amperage by $\mathrm { I } = 1.07 \sin 120 \pi \mathrm { t }$ , where $\mathrm { t }$ is time in seconds. Use identities to write the wattage $\mathrm { W } = \mathrm { VI }$ in the form $\mathrm { W } = \mathrm { a } \cos \omega \mathrm { t } + \mathrm { c }$

• A) \(\mathrm { W } = 101.115 \cos 240 \pi t - 101.115\)
• B) \(W = - 101.115 \cos 120 \pi t + 101.115\)
• C) \(W = - 202.23 \cos 240 \pi t + 202.23\)
• D) \(W = - 101.115 \cos 240 \pi t + 101.115\)

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