# Domain and range of tangent

## Domain and Range of Trigonometric Functions Graphs of the Inverse Trig Functions (1 of 3: Reviewing the domain, range and shape)

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Try this with the Unit Circle. A complete repetition of the pattern of the function is called a cycle and the period is the horizontal length of one complete cycle. Because the trig functions are cyclical in nature, they are called periodic functions. Before we go into more detail of each of the trig functions, here are some tables that might help. The second table shows more details for each of the trig functions. Starting and stopping points may be changed, as long the graph covers one complete cycle period. Here are more detailed graphs of the six trig Functions.

Even though students can get this stuff on internet, they do not understand exactly what has been explained. To make the students to understand the stuff "Domain and range of inverse trigonometric functions", we have given a table which clearly says the domain and range of trigonometric functions. In the topic "Domain and range of inverse trigonometric functions", next we are going to see the rule that has to be applied to find the domain of inverse trigonometric functions. For any trigonometric function, we can easily find the domain using the below rule. That is,.

The trigonometric ratios can also be considered as functions of a variable which is the measure of an angle. This angle measure can either be given in degrees or radians. Here, we will use radians. The graph of the sine function looks like this:. The graph of the cosine function looks like this:.

Tangent is one of the basic function of trigonometry along with sine and cosine functions. Graph of tangent function is very useful to learn about it. Analyze the graph of tangent function. Before starting graphs of tangent functions, let us have a small introduction on tangent function. For right-angle triangle, tangent is found by taking ratio of length of opposite side to the length of adjacent side. Mathematically tangent is a ratio of sine function and cosine function.

## What is the domain and range of y=tan x?

Graphs of Trigonometric Functions. Properties of the tangent function. -

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