How do you find the amplitude of a tangent graph?
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 .
How do you find the amplitude of a graph?
The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.
How does amplitude affect a tan graph?
Because tangent has no absolute maximum or minimum value, amplitude determines how steep or shallow the graph is. B determines the period, or how wide or narrow the graph is.
What is the amplitude of a tan or cot function?
Feb 26, 2018. The tangent function has no amplitude. The period of this function, calculated using p=πb (a formula used for finding the period of any tangent or cotangent function) where b=π, is 1.
What is the period for the tangent function in radians?
For the tangent function, the period is π radians or 180 degrees.
Do tan and COT graphs have amplitudes?
Note: The graphs of y = tan(x) and y = cot(x) “face” in opposite directions. There are vertical asymptotes. The asymptote that occurs at π repeats every π units. amplitude: none, graphs go on forever in vertical directions.
What is the period of a tan function?
Tangent function tan x is a periodic function and has a period of π/1 = π (Because b =1 in tan x).
What is the amplitude of the function?
The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine.
How do you find the amplitude of a cotangent function?
Use the form acot(bx−c)+d a cot ( b x – c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Since the graph of the function cot c o t does not have a maximum or minimum value, there can be no value for the amplitude. Find the period using the formula π|b| .
Why do the tangent and cotangent graphs have no 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.