the number of hours of daylight on a given day in city a is given by the following function, where x is the…

the number of hours of daylight on a given day in city a is given by the following function, where x is the number of days after january 1. y = 2 sin((2π/365)(x - 80))+12. use this function to answer parts a through e. a. what is the amplitude of this function? (simplify your answer.)

the number of hours of daylight on a given day in city a is given by the following function, where x is the number of days after january 1. y = 2 sin((2π/365)(x - 80))+12. use this function to answer parts a through e. a. what is the amplitude of this function? (simplify your answer.)

Answer

Explanation:

Step1: Recall sine - function form

The general form of a sine function is $y = A\sin(B(x - C))+D$.

Step2: Identify amplitude

In the given function $y = 2\sin\left(\frac{2\pi}{365}(x - 80)\right)+12$, comparing with the general form, the amplitude $A$ is the coefficient of the sine function.

Answer:

$2$