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We can use what we know about the properties of the tangent function to quickly sketch a graph of any stretched and/or compressed tangent function of the form \(f(x)=A\tan(Bx)\). We focus on a single period of the function including the origin, because the periodic property enables us to extend the graph to the rest of the function’s domain ...

The Inverse Sine, Cosine and Tangent graphs are: Inverse Sine. Inverse Cosine. Inverse Tangent. Here is Cosine and Inverse Cosine plotted on the same graph: Cosine and Inverse Cosine. They are mirror images (about the diagonal)! The same is true for Sine and Inverse Sine and for Tangent and Inverse Tangent. Can you see this in the graphs above?

Mathematically, tan function is written as f (x) = tan x. Further in this article, we will explore the tangent function graph, its domain and range, the trigonometric identities of tan x, and the formula of the tangent function. We will also solve some examples related to the tan function for a better understanding of the concept.

How to make a Graph of the Tangent Function? Properties of the tangent function, Unir circle and the tangent function, examples and step by step solutions

We learn why graphs of tan, cot, sec and cosec have a periodic gap in them (also known as a discontinuity). We learn how to sketch the graphs.

Definition and Graph of the Tangent Function. We first consider angle \( \theta \) with initial side on the positive x axis (in standard position) and terminal side OM as shown below.

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 result, as seen above, is rather jagged curve that goes to positive infinity in one direction and negative infinity in the other.

Here we will learn about tan graphs or tangent graphs, including how to recognise the graph of the tangent function, sketch the tangent curve and label important values, and interpret the tangent graph.

The graph of a tangent function y = tan ( x ) is looks like this: Properties of the Tangent Function, y = tan ( x ) . Domain : x ∈ ℝ , x ≠ π 2 + n π , where n is an integer. Range : ( − ∞ , ∞ ) y -intercept : ( 0 , 0 ) x -intercept : n π , where n is an integer. Period: π. Symmetry: origin (odd function) Amplitude and Period of a Tangent Function.