Graphing Tangent Function Math

Graph tangent and identify key properties of the function. The period of the tangent graph is π radians which is 0 to 180 and therefore different from that of sine and cosine which is 2π in radians or 0 to 360. The result as seen above is rather jagged curve that goes to positive infinity in one direction and negative infinity in the other.

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Since tan x sin x cos x the tangent function is undefined when cos x 0.

Graphing tangent function math. Graphing the tangent function the tangent graph looks very different from the sinusoidal graph of the sine and cosine functions. Find the vertical asymptotes so you can find the domain. This post is going to help you pass algebra 2 trig. X π 2 π 4 0 π 4 π 2 tan x va 1 0 0 0 1 0 va where va means vertical.

At π 2 radians 90 and at π 2 90 3 π 2 270 etc the function is officially undefined because it could be positive infinity or negative infinity. Therefore the tangent function has a vertical asymptote whenever cos x 0. Draw a curve passing through all points and rising or falling vertically along the vertical asymptotes. To graph the tangent function we mark the angle along the horizontal x axis and for each angle we put the tangent of that angle on the vertical y axis.

N f o. Hi everyone and welcome to mathsux. The tangent function has a completely different shape. Example 1 step 1.

In this equation we find several parameters of the function which will help us graph it. The amplitude is the magnitude of the stretch or compression of the function from its parent function. Calculate the graph s x intercepts. In this post we are going to apply our knowledge of the unit circle and trigonometric functions to graph y sin x y cos x and y tan x.

These steps use x instead of theta because the graph is on the. Recall that the tangent function can be defined as the closer you get to the values. It goes between negative and positive infinity crossing through 0 and at every π radians 180 as shown on this plot. Make a table of values over one period.

If you have any questions don t hesitate to comment or check out the video below. Plot the points and the vertical asymptotes. Determine values for the range. The general form of a tangent function is.

Similarly the tangent and sine functions each have zeros at integer multiples of π because tan x 0 when sin x 0. Trigonometry graph of a general tangent function general form.