Create a new post comparing and contrasting sine and cosine functions. a. Compare and contrast the key features of the functions f(x) = sin x and g(x) = cos x. Keep in mind the following characteristics:     1.Midline     2.Amplitude     3.Period     4.Frequency         5.Maximum/minimum values     6.Latex: y\textsf{-}intercept b. Think through what you know about sine functions, cosine functions, and transformations of functions. Do you think it is possible for a function to be both a sine function and a cosine function? Why or why not? My answer:  Sine and cosine functions are both periodic functions, meaning that they repeat over a certain interval. The key features of these functions are their midline, amplitude, period, and frequency. The midline of a sine or cosine function is the average value of the function over a full period. This is represented by the equation y = 0 for the sine function and y = 1 for the cosine function. The amplitude of a sine or cosine function is the maximum vertical distance of the function from its midline. This is represented by the equation y = A for the sine function and y = B for the cosine function, where A and B are the amplitudes of the respective functions. The period of a sine or cosine function is the length of one full cycle of the function. This is represented by the equation T = 2π for the sine function and T = π for the cosine function. The frequency of a sine or cosine function is the number of cycles of the function that occur over a given interval. This is represented by the equation f = 1/T for the sine function and f = 2/T for the cosine function. The maximum and minimum values of a sine or cosine function are the highest and lowest points of the function, respectively. For the sine function, the maximum value is 1 and the minimum value is -1. For the cosine function, the maximum value is 1 and the minimum value is -1. The y-intercept of a sine or cosine function is the point where the function crosses the y-axis. For the sine function, the y-intercept is (0,0). For the cosine function, the y-intercept is (0,1). In terms of transformations, it is possible to shift a sine or cosine function horizontally or vertically, or to stretch or compress it. However, it is not possible for a function to be both a sine function and a cosine function at the same time, because these functions have different equations and different characteristics.

I just need someone to make sure my answer is correct.

The Question:

Create a new post comparing and contrasting sine and cosine functions.
a. Compare and contrast the key features of the functions f(x) = sin x and g(x) = cos x. Keep in mind the following characteristics:
    1.Midline
    2.Amplitude
    3.Period
    4.Frequency    
    5.Maximum/minimum values
    6.Latex: y\textsf{-}intercept
b. Think through what you know about sine functions, cosine functions, and transformations of functions. Do you think it is possible for a function to be both a sine function and a cosine function? Why or why not?

My answer: 

Sine and cosine functions are both periodic functions, meaning that they repeat over a certain interval. The key features of these functions are their midline, amplitude, period, and frequency.

The midline of a sine or cosine function is the average value of the function over a full period. This is represented by the equation y = 0 for the sine function and y = 1 for the cosine function.

The amplitude of a sine or cosine function is the maximum vertical distance of the function from its midline. This is represented by the equation y = A for the sine function and y = B for the cosine function, where A and B are the amplitudes of the respective functions.

The period of a sine or cosine function is the length of one full cycle of the function. This is represented by the equation T = 2π for the sine function and T = π for the cosine function.

The frequency of a sine or cosine function is the number of cycles of the function that occur over a given interval. This is represented by the equation f = 1/T for the sine function and f = 2/T for the cosine function.

The maximum and minimum values of a sine or cosine function are the highest and lowest points of the function, respectively. For the sine function, the maximum value is 1 and the minimum value is -1. For the cosine function, the maximum value is 1 and the minimum value is -1.

The y-intercept of a sine or cosine function is the point where the function crosses the y-axis. For the sine function, the y-intercept is (0,0). For the cosine function, the y-intercept is (0,1).

In terms of transformations, it is possible to shift a sine or cosine function horizontally or vertically, or to stretch or compress it. However, it is not possible for a function to be both a sine function and a cosine function at the same time, because these functions have different equations and different characteristics.