Answer:
Step-by-step explanation:
The given voltage function is:
v(t) = 2 cos(3πt/2) volts
The general form of a cosine function is:
cos(ωt)
where ω is the angular frequency in radians per second. The frequency in hertz (cycles per second) can be calculated using the formula:
f = ω/2π
To find the angular frequency ω for the given function, we compare it to the general form:
v(t) = A cos(ωt)
where A = 2 volts and ω = 3π/2 radians per second.
Thus, the frequency in hertz is:
f = ω/2π = (3π/2)/(2π) = 3/4 Hz
Therefore, the frequency of the given voltage function is 3/4 Hz.