Domain Of A Tan Graph

R pi 2 kpi k is in z.

Domain of a tan graph. The domain of each function is and the range is 1 1. Find the vertical asymptotes so you can find the domain. The tangent graph has an undefined amplitude as the curve tends to infinity.

X k pi place k is an integer. The amplitude and the vertical shift will not affect the domain or the period of the graph. Undefined control sequence textup.

The graph of y sin x is symmetric about the origin because it s an odd function. The graph of a tangent function y tan x is looks like this. The function here goes between negative and positive infinity crossing through 0 over a period of π radian.

Since tan x sin x cos x the tangent function is undefined when cos x 0. Therefore the tangent function has a vertical asymptote whenever cos x 0. The period of the tangent graph is.

The tangent and cotangent are related not only by the fact that they re reciprocals but also by the behavior of their ranges. The first asymptote occurs when the angle note. The combined graph of sine and cosine function can be represented as follows.

In order to find the domain of the tangent function f x tan x you have to locate the vertical asymptotes. Since tan x tan x then tan x is an odd function and the graph of tanx is symmetric with respect to the origin. The tells us that the graph will shift right units.