Question

What is the period of the sinusoidal function?

Answer 1

The period of a sinusoidal function represents the time it takes for the function to complete one full cycle.

Step-by-step explanation:

In physics, the period of a sinusoidal function refers to the time it takes for the function to complete one full cycle. It is denoted by the symbol T and is calculated as T = 1/f, where f is the frequency of the function. The frequency, in turn, is the number of cycles completed per unit of time.

For example, in the equation y(t) = A sin(wt), the period T is equal to 2π/w. If we have a sinusoidal wave with a frequency of 10 Hz, the period would be T = 1/10 = 0.1 seconds.

Therefore, the period represents the time it takes for the function to repeat itself or complete one full cycle.

Answer 2

Answer:

4

Explanation:

If one period is just how far it takes for one wave to go up and come back down, then we can see one of the waves of the graph starts at 2.5 and ends at 6.5, making the period 4. Of course, there's a more proper formula to it, but this is the easier way my teacher taught me.
Happy studying!