Solve the Problem $$\mathrm { V } _ { \mathrm { C } } = - \frac { \mathrm { i } } { 2 \pi \mathrm { f } } \cos 2 \pi \mathrm { ft } \text {, }$$

Multiple Choice

Solve the problem.
-In the study of alternating electric current, capacitive voltage is given by $$\mathrm { V } _ { \mathrm { C } } = - \frac { \mathrm { i } } { 2 \pi \mathrm { f } } \cos 2 \pi \mathrm { ft } \text {, }$$
where $\mathrm { f }$ is the number of cycles per second, $\mathrm { i }$ is the maximum current, and $\mathrm { t }$ is the time in seconds. Solve the equation for $t$ .

A) $t = 2 \pi f \cos \left( - \frac { 2 \pi f \mathrm { fc } } { \mathrm { i } } \right)$
B) $t = \frac { 1 } { 2 \pi f } \arccos \left( \frac { 2 \pi \mathrm { fVc } } { \mathrm { i } } \right)$
C) $t = 2 \pi f \arccos \left( - \frac { 2 \pi f \mathrm { fV } } { \mathrm { i } } \right)$
D) $t = \frac { 1 } { 2 \pi f } \arccos \left( - \frac { 2 \pi f \mathrm { fV } } { \mathrm { i } } \right)$