## Summary

The Excel ASIN function returns the inverse sine of a number.

## Purpose

Return the inverse sine of a value in radians.

## Syntax

``=ASIN(number)``
• number - The value to get the inverse sine of. The number must be between -1 and 1 inclusive.

## How to use

The ASIN function, also called arc-sine, returns the inverse sine of a value. The input number must be between -1 and 1, inclusive. Geometrically, given the ratio of a triangle's opposite side over its hypotenuse, the function returns the angle of the triangle. For example, given a ratio of 0.5 the function returns the angle of 0.524 radians.

``````=ASIN(0.5) // Returns 0.524 radians
``````

### Convert Result to Degrees

To convert the result from radians to degrees, multiply the result by 180/PI() or use the DEGREES function. For example, to convert the result of ASIN(0.5) to degrees, you can use either formula below:

``````=ASIN(0.5)*180/PI() // Returns 30 degrees
=DEGREES(ASIN(0.5)) // Returns 30 degrees
``````

### Explanation The graph of ASIN visualizes the output of the function from -1 to 1. ASIN is the inverse of SIN. However, because SIN is a periodic function, the output of ASIN is limited to the range from -π/2 to π/2.

### Notes

• ASIN is the inverse of SIN
• To convert the result from radians to degrees multiply by 180/PI() or use the DEGREES function.

Graph courtesy of wumbo.net Author ### Dave Bruns

Hi - I'm Dave Bruns, and I run Exceljet with my wife, Lisa. Our goal is to help you work faster in Excel. We create short videos, and clear examples of formulas, functions, pivot tables, conditional formatting, and charts.