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Inverse Sine Calculator arcsin(x)

Written by:
PK

On this page is an inverse sine calculator (or arcsin calculator), which calculates an angle from the ratio from the sine function. Enter your result and choose if you want the tool to return radians or degrees, then compute the angle.

Inverse Sine Calculator

Using the Arcsine Calculator

To use the tool to find the angle from a sine, enter the ratio, choose the units you'd like as output, and compute.

  • Sine - ratio of the opposite side to the hypotenuse
  • Output Degrees or Radians? - choose whether you'd like the tool to return degrees or radians

Once you're happy with the inputs, click the "Compute Arcsin" button.

  • Angle - the angle you'd input if you wanted to get the sine you entered

What is the arcsine or inverse sine?

Arcsine is the inverse of the sine, which is the ratio of the opposite side to the hypotenuse (longest side) in a right triangle.

Right triangle to illustrate trigonometry functions
Right Triangle Diagram (CC By-SA 3.0 Wikimedia)

As the opposite side of the angle in question can never be larger than the hypotenuse – it can only match the length – arcsine can only be between -1 and 1.

Arcsine as a formula

Inverse sine is usually abbreviated as "arcsin" or "asin", as in the following equation:

arcsin(y)=asin(y)

Where it is the inverse of sine, or:

x=arcsin(y)\\y=sin(x)

Next, see all the inverse trigonometric functions or trigonometric functions in one tool.

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