# How to Graph Trigonometric Functions?

We can plot diagrams of different trigonometric functions with a range of their principal values. Learn how to plot diagrams trigonometric functions by the following step-by-step guide.

Trigonometric functions are the basic six functions that have a domain input value as an angle of a right triangle, and a numeric answer as the range. The trigonometric function is also called the trig function.

## Step by step guide to trigonometric functions graph

Graphs of trigonometric functions have the domain value of $$θ$$ shown on the horizontal $$x$$-axis and the range value along the vertical $$y$$-axis. The graphs of $$sin\:\theta$$ and $$tan\:\theta$$ pass through the origin and the graphs of other trigonometric functions do not pass through the origin. The range of $$sin\:\theta$$ and $$cos\:\theta$$ is limited to $$[-1, 1]$$. The range of infinite values is presented as drawn beside the dotted lines.

### Domain and range of trigonometric functions

The value of $$\theta$$ represents the domain of the trigonometric functions and the resultant value is the range of the trigonometric function. The domain values of $$\theta$$ are in terms of degrees or radians and the range is a real value. In general, the domain of a trigonometric function is a real value, but in special cases, a few angle values are excluded because it results in a range as an infinite value.

The table below shows the domain and range of the six trigonometric functions:

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