Graph Tangent Function Math

The result as seen above is rather jagged curve that goes to positive infinity in one direction and negative infinity in the other. Those asymptotes give you some structure from which you can fill in the missing points. The tangent graph looks very different from the sinusoidal graph of the sine and cosine functions.

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Find the vertical asymptotes so you can find the domain.

Graph tangent function math. To plot the parent graph of a tangent function f x tan x where x represents the angle in radians you start out by finding the vertical asymptotes. Recall that and cosx has a value of 0 when x 90 or 270. Since tan x sin x cos x the tangent function is undefined when cos x 0. Similarly the tangent and sine functions each have zeros at integer multiples of π because tan x 0 when sin x 0.

This can create a situation in which the denominator will be zero and therefore undefined when using the tangent function. 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. 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. Therefore the tangent function has a vertical asymptote whenever cos x 0.

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