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

Question

Quizplus · Accepted Answer

To solve for $t$, we need to isolate $t$ on one side of the equation. Starting with $V = \cos 2 \pi t$, we take the inverse cosine ($\arccos$) of both sides to get $2 \pi t = \arccos V$. Then, divide both sides by $2 \pi$ to isolate $t$, resulting in $t = \frac { 1 } { 2 \pi } \arccos V$.

Solve the Equation for Exact Solutions V=cos⁡2πtV = \cos 2 \pi tV=cos2πt

Solve the Equation for Exact Solutions $V = \cos 2 \pi t$