Graphing Calculator Arcsin to Degrees

The arcsin function (also known as inverse sine) calculates the angle whose sine is a given value. This guide explains how to convert arcsin results to degrees using a graphing calculator, including the formula, examples, and a practical calculator tool.

What is arcsin?

The arcsin function, written as sin⁻¹(x) or arcsin(x), is the inverse of the sine function. It takes a value between -1 and 1 and returns an angle in radians between -π/2 and π/2 whose sine is that value.

For example, sin⁻¹(0.5) = π/6 radians (which is 30 degrees).

Note: The arcsin function is only defined for inputs between -1 and 1. If you provide a value outside this range, the calculator will return an error.

Converting arcsin to degrees

Most graphing calculators display angles in radians by default. To convert an arcsin result from radians to degrees, you can use the following formula:

degrees = radians × (180/π)

This formula works because there are 180 degrees in a straight angle (π radians).

For example, if sin⁻¹(0.5) = 0.5236 radians, then converting to degrees:

0.5236 × (180/π) ≈ 30 degrees

How to use this calculator

Enter a value between -1 and 1 in the input field.
Click "Calculate" to compute the arcsin in radians and degrees.
View the results and chart visualization.
Click "Reset" to clear the calculator.

Assumption: The calculator uses π ≈ 3.141592653589793 for all calculations.

Examples

Input (x)	arcsin(x) in radians	arcsin(x) in degrees
0.5	0.5236	30
0.866	1.0472	60
-0.5	-0.5236	-30

FAQ

What is the range of the arcsin function?

The arcsin function returns values between -π/2 and π/2 radians (-90 and 90 degrees).

Can I use this calculator for complex numbers?

No, this calculator only works with real numbers between -1 and 1.

How accurate are the results?

The calculator uses JavaScript's built-in Math.asin() and Math.PI for calculations, which provides high precision.