Graph Of Tan X Math

Voiceover what i hope to do in this video is get some familiarity with the graph of tangent of theta.

Graph of tan x math. Let s say that s a y axis and this is my x axis. That is my x axis and the unit circle would look something like this. The result as seen above is rather jagged curve that goes to positive infinity in one direction and negative infinity in the other. Below is a graph of y tan x showing 3 periods of tangent.

The sine function has this beautiful up down curve which repeats every 2. The general form of the tangent function is. And to do that i ll set up a little unit circle so that we can visualize what the tangent of various thetas are. Where a b c and d are constants.

This confirms that tangent is an odd function since tan x tan x. Graphs of sine cosine and tangent. A sine wave made by a circle. A sine wave produced naturally by a bouncing spring.

The graph of f x tan x is positive for angles in quadrant iii because both sine and cosine are negative. Y a tan b x c d. 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. A tangent graph has no maximum or minimum points.

In this graph we can see that y tan x exhibits symmetry about the origin.