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

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-In an electrical circuit, let $\mathrm { V }$ represent the electromagnetic force in volts at $\mathrm { t }$ seconds. Assume $\mathrm { V } = \cos 2 \pi \mathrm { t }$ . Find the smallest positive value of $\mathrm { t }$ where $0 \leq \mathrm { t } \leq \frac { 1 } { 2 }$ for $\mathrm { V } = \frac { \sqrt { 2 } } { 2 }$ .

A) $\frac { 1 } { 8 } \mathrm { sec }$
B) $0 \mathrm { sec }$
C) $\frac { 1 } { 4 } \mathrm { sec }$
D) $\frac { 1 } { 2 } \mathrm { sec }$

Correct Answer:

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