Welcome to Bytelearn!

Let’s check out your problem:

The average monthly temperature changes from month to month. Suppose that, for a given city, we can model the average temperature in a month with the following function.$\newline$$$f(t)=60-27 \sin\left(\frac{\pi}{6}t\right)$$$\newline$In this equation, $f(t)$ is the average temperature in a month in degrees Fahrenheit, and $t$ is the month of the year (January$=1$, February $=2,\dots$). Find the following. If necessary, round to the nearest hundredth.$\newline$Time for one full cycle of $f$: $\square$ months$\newline$Number of cycles of$f$ per month: $\square$$\newline$Minimum average temperature in a month: $\square$