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Given the function \(f(x)=A \tan(Bx)\), graph one period. Identify the stretching factor, \(| A |\). Identify B and determine the period, \(P=\dfrac{\pi}{| B |}\). To find a pair of asymptotes, solve the equations \(Bx=-\dfrac{\pi}{2}\) and \(Bx=\dfrac{\pi}{2}\). To find other asymptotes from those use the period of the function.
Find the period of tan(x) tan (x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps... List the properties of the trigonometric function. The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Considering the values of cos x and sin x for different values of x (or more simply, finding the values of `1/tanx`), we can set up a table of values. We can then sketch the graph of `y = cot x` as follows.
17 Σεπ 2002 · The Graphs of Tangent, Cotangent, Cosecant, and Secant We're going to find the graphs of these function using the same method we used for sin(x) and cos(x). We'll use a table of values to plot some of the points, and then "fill in" the rest of the graph.
asymptotes of the graph. We should also note that as x approaches values close to an odd multiple of π/2, the absolute value of y = tan x gets very large. Notice that π/2 ≈1.57. If we let x= 1.56, y= tan 1.56 ≈92.62. We also know that the period (or cycle) of the tangent function is π, which means the values of the tangent
The Graphs of Tangent, Cotangent, Cosecant, and Se-cant We’re going to find the graphs of these function using the same method we used for sin(x) and cos(x). We’ll use a table of values to plot some of the points, and then ”fill in” the rest of the graph. It will be a little more complicated than before, because these
The graph of tan x has an asymptote at x = -π/2. It is represented by a vertical broken red line x = -π/2 in the graph below. tan x has an asymptotic behavior close to π/2 and -π/2. Using the values of tan x above plus the following values: tan 0 = 0, tan (π/4) = 1 and tan (-π/4) = -1, we start by plotting the points (0,0) , (π/4,1) and ...
