Final answer:
To find frequency (f) from the equation t = 1/f, reverse the equation to solve for f, resulting in f = 1/t. Frequency is the inverse of the period (T), and it's related to the wave's energy and wavelength.
Step-by-step explanation:
The question is asking us to rearrange the equation t = 1/f to solve for frequency (f). The period (T) of a wave is the time taken for one complete cycle and this is represented as t in the equation. To solve for frequency, we take the inverse of the period. The rearranged equation showing that frequency is the inverse of period (T) would be f = 1/t.
Remember, as frequency increases, the period decreases since they are inversely related. This is also related to the energy carried by the wave; a higher frequency means greater energy. Additionally, frequency is also inversely proportional to wavelength, so a higher frequency implies a shorter wavelength.