# How to Graph Inverse Trigonometric Functions?

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

Inverse trigonometric functions are also called arc functions. Just like trigonometric functions, we can also display diagrams of inverse trigonometric functions.

## Step-by-step guide to inverse trigonometric functions graph

We can plot diagrams of different inverse trigonometric functions with their range of principal values. Here, we select the random values for $$x$$ in the domain of the corresponding inverse trigonometric functions.

### Arcsine function

The Arcsine function, or inverse sine function, also known as $$sin^{-1}x$$, is the inverse of the sine function. The diagram of the sine inverse function is as follows:

### Arccosine function

The Arccosine function, or inverse cosine function, also known as $$cos^{-1} x$$, is the inverse of the cosine function. The diagram of the cos inverse function is as follows.

### Arctangent function

The Arctangent function, or inverse tangent function, also display by $$tan^{-1} x$$, is the inverse of the tan function. The graph of the tan inverse function is as follows.

### Arccotangent function

The Arccotangent function or inverse cotangent function, also shown as $$cot^{-1} x$$, is an inverse of the cotangent function. The graph of the cot inverse function is as follows.

### Arcsecant function

The Arcscant function, or inverse sequence function, also denoted by $$sec^{-1} x$$, is the inverse of the secant function. The diagram of the inverse sec function is as follows.

### Arccosecant function

The Arccosecant function, or inverse cosecant function, also known as $$cosec^{-1} x$$, is the inverse of the cosecant function. The inverse function diagram of cosec is as follows.

### Inverse trigonometric functions domain and range

The charts above help us compare and understand the functions $$y=sin^{-1}x$$, $$y=cos^{-1}x$$, $$y=tan^{-1}x$$, $$y=cot^{-1}x$$, $$y=sec^{-1}x$$, $$y=cosec^{-1}x$$. The domain($$x$$ value) of the function is presented along the $$x$$-axis and the range($$y$$ value) of the inverse trigonometric function is presented along the $$y$$-axis. The table below shows the domain and range of the principal values of the inverse trigonometric functions.

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