Question

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 8 cosine (startfraction pi over 10 endfraction t). what is the period of the function? startfraction pi over 20 endfraction seconds startfraction pi over 10 endfraction seconds 8 seconds 20 seconds

Answer 1

Answer:

20 seconds

Step-by-step explanation:

I assume you mean $h(t)=8\cos(\frac{\pi}{10}t)$ for your function.

As the given function is in the form of $f(t)=a\cos(bt+c)+d$ (some textbooks may write this formula differently), the period is equal to $\frac{2\pi}{|b|}$. Hence, the period of the given function is $\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20$, or 20 seconds.