Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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?

We can graph \(y=\cot x\) by observing the graph of the tangent function because these two functions are reciprocals of one another. See Figure \(\PageIndex{8}\). Where the graph of the tangent function decreases, the graph of the cotangent function increases.

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.

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.

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.

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

Jul 30, 2014 · The page explains how to sketch these trigonometric curves, mostly by considering the denominator (the bottom) of the function expression. Each of the curves tan θ, cot θ, sec θ and csc θ has a discontinuity, or "gap" in the curve. For example, tan θ is defined by:

Feb 28, 2025 · The tangent function is a fundamental concept in trigonometry, often introduced alongside sine and cosine functions. Its graph has a unique appearance characterized by periodic “walls” called asymptotes. Understanding and being able to manipulate graphing tangent with transformations is essential in many math courses, including AP ...

Feb 28, 2025 · Example: Analyzing the Graph of Tangent Within One Period. Identify points of inflection: x = 0 results in y = 0. Observe the curve’s direction: As x approaches \pi/2, the graph curves upward rapidly. Sketching the Graph of the Tangent Function. To sketch the tangent function graph: Identify the period: \pi.