Satvik2008OnCrac Satvik2008OnCrac

02-01-2023
Mathematics

Answered

In the month of March, the temperature at the South Pole varies over the day in a periodic way that can be modeled approximately by a trigonometric function.

The highest temperature is about -50°C, and it is
reached around 2 p.m. The lowest temperature is
about -54°C and it is reached half a day apart
from the highest temperature, at 2 a.m.

Find the formula of the trigonometric function that models the temperature T in the South Pole in March t hours after midnight. Define the function using radians.

Answer :

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