What is the amplitude of the graph of a trigonometric function?

What is the amplitude of the graph of a trigonometric function?

The amplitude of a function is the amount by which the graph of the function travels above and below its midline.

What is amplitude in sine graphs?

The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In other words, the amplitude is half the distance from the lowest value to the highest value.

Do tan graphs have amplitude?

Amplitude and Period of a Tangent Function The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes. Also see Trigonometric Functions .

What is the amplitude of the graphs of the sine and cosine functions?

The amplitude of y=asin(x) and y=acos(x) represents half the distance between the maximum and minimum values of the function. Example: Find the period and amplitude of y=52cos(x4) .

What is amplitude with example?

It refers to maximum displacement from the equilibrium that an object in periodic motion show. As an example, a pendulum swings through its equilibrium point (straight down), and then swing to a maximum distance away from the center. Furthermore, the distance of the amplitude is A.

Do secant graphs have amplitude?

The sine and cosine functions will have an amplitude. However, the tangent, cotangent, secant, and cosecant functions do not have an amplitude because these functions do not have a maximum value nor a minimum value.

Why does tan not have amplitude?

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes.

How do you calculate the amplitude of a function?

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

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