Solve the problem.
-The voltage $\mathrm { E }$ in an electrical circuit is given by $\mathrm { E } = 3.3 \cos 130 \pi \mathrm { t }$, where $t$ is time measured i seconds. Find the frequency of the function (that is, find the number of cycles or periods completed in one second).
A) 65
B) $\frac { 1 } { 130 }$
C) 130
D) $\frac { 1 } { 65 }$

Question

Quizplus · Accepted Answer

The frequency of the function is given by the coefficient of $t$ in the argument of the cosine function, divided by $2\pi$. Here, the coefficient of $t$ is $130\pi$, so the frequency $f = \frac{130\pi}{2\pi} = 65$ cycles per second.

Solve the Problem E\mathrm { E }E In an Electrical Circuit Is Given By

Solve the Problem $\mathrm { E }$ In an Electrical Circuit Is Given By