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Solve the Equation for Solutions Over the Interval [0 [0,2π)[ 0,2 \pi )

Question 306

Multiple Choice

Solve the equation for solutions over the interval [0, [0,2π) [ 0,2 \pi ) ) . Write solutions as exact values or to four decimal places, as
appropriate.
-In the study of alternating electric current, capacitive voltage is given by VC=−i2πfcos⁡2πftV _ { C } = - \frac { i } { 2 \pi f } \cos 2 \pi f t , where f\mathrm { f } is the number of cycles per second, i\mathrm { i } is the maximum current, and t\mathrm { t } is the time in seconds. Solve the equation for t\mathrm { t } .


A) t=2πfcos⁡(−2πfVCi) t = 2 \pi f \cos \left( - \frac { 2 \pi f V _ { C } } { i } \right)
B) t=12πfarccos⁡(2πfVCi) t = \frac { 1 } { 2 \pi f } \arccos \left( \frac { 2 \pi f V _ { C } } { i } \right)
C) t=12πfarccos⁡(−2πfVCi) \mathrm { t } = \frac { 1 } { 2 \pi \mathrm { f } } \arccos \left( - \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)
D) t=2πfarccos⁡(−2πfVCi) t = 2 \pi f \arccos \left( - \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)

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