The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trigonometric function.
Assume the length of the year (which is the period of change) is exactly 365days long. The hottest day of the year, on average, is January 777, when the average temperature is about 29 degrees C.

The average temperature at the coolest day of the year is about 14 degrees C.

Find the formula of the trigonometric function that models the daily average temperature T in Santiago t days into the year. (t = 1 on January 1) Define the function using radians.

What is the average temperature in Santiago on January 31? Round your answer, if necessary, to two decimal places.

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.