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 electric circuit, the electromotive force is defined as $\mathrm { V } = \cos 2 \pi \mathrm { t }$, where $\mathrm { t }$ is time in seconds. Solve the equation for $\mathrm { t }$.

Question

Quizplus · Accepted Answer

To solve for $t$, we need to isolate $t$ in the equation $V = \cos 2 \pi t$. Taking the inverse cosine ($\arccos$) of both sides gives $2 \pi t = \arccos V$, and then dividing both sides by $2 \pi$ gives $t = \frac{1}{2 \pi} \arccos V$.

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

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