# Inverse Trig Functions: Intuitive Explorations

- Author:
- Tim Brzezinski

- Topic:
- Angles, Functions, Sine, Trigonometric Functions, Trigonometry

We often take the SINE, COSINE, or TANGENT of an ANGLE. Thus, for these 3 main trigonometric functions, we

**INPUT an ANGLE**, and**get an OUTPUT that is a RATIO**(the sine, cosine, or tangent ratio). Yet the INVERSE TRIGONOMETRIC FUNCTIONS literally UNDO what the trigonometric functions do. Thus, here, we**INPUT a RATIO**and get an**OUTPUT that is an ANGLE**. Interact with this GeoGebra resource below to see this in action. Here, you can select to display the graph of the**inverse sine function**,**inverse cosine function**, or**inverse tangent function**.**Note:**The inverse trigonometric functions are also called the**ARCsine**,**ARCcosine**, and**ARCtangent**functions. Note ARC is synonymous for ANGLE. These functions always output an ANGLE.