Solve the problem.
-The voltage $E$ in an electrical circuit is given by $E = 1.7 \cos 110 \pi t$, where $t$ is time measured in seconds. Find the frequency of the function (that is, find the number of cycles or periods completed in one second).
A) $\frac { 1 } { 55 }$
B) 55
C) 110
D) $\frac { 1 } { 110 }$

Question

Quizplus · Accepted Answer

The frequency $f$ of a cosine function of the form $E = A \cos(Bt)$ is given by $f = \frac{B}{2\pi}$. Here, $B = 110\pi$, so $f = \frac{110\pi}{2\pi} = 55$. This means the function completes 55 cycles or periods in one second.

Solve the Problem EEE In an Electrical Circuit Is Given By E=1.7cos⁡110πtE = 1.7 \cos 110 \pi tE=1.7cos110πt

Solve the Problem $E$ In an Electrical Circuit Is Given By $E = 1.7 \cos 110 \pi t$