Arcsine calculator

The Arcsine calculator computes arcsine from the relation asin(x) in degrees, x in [-1,1]. It takes a single input (x) and returns the asin(x) in deg. These calculators serve students working through a trigonometry, surveying or physics course, along with drafters, machinists, carpenters, roofers and navigators who need a function value evaluated quickly, or who need an angle, a side length or a height that cannot be measured directly and has to be recovered from the parts of the figure that can be measured. Enter your values below and the result updates instantly, and you can share a permalink that pre-fills the exact calculation. Where a tool takes or returns an angle, confirm which unit you are working in before you rely on the result, because a value entered or read as degrees when it is meant as radians or gradians changes the answer without any warning, and carry more digits through intermediate values than you plan to report so that rounding does not compound across a multi-step solution. For example, with x = 1, the asin(x) works out to 90 deg, and the worked example further down the page shows every step so you can follow the arithmetic and reproduce it by hand. The method is the standard form documented by NIST DLMF (trigonometric functions), and the figure above each result carries the date it was last verified. The relationships themselves hold exactly, but the figure displayed is a rounded decimal standing in for a value that is often irrational, and each function carries its own domain and range limits: the tangent is undefined wherever the cosine is zero, and an inverse function returns only the principal angle, so a triangle solved from two sides and a non-included angle can have a second valid solution that a single result will not show.

With x = 1, the result is 90 deg.

Formula: asin(x) in degrees, x in [-1,1]. Source: NIST DLMF (trigonometric functions), as at 2026-07-09.

asin(x)90 deg

Applies to: any numeric inputs. Method source: NIST DLMF (trigonometric functions), checked 2026-07-09.

The formula

asin(x) in degrees, x in [-1,1]

Worked example

With x = 1:

  1. asin(x) -> degrees
  2. asin(x) = 90 deg

This worked example is one of the automated golden-value tests this calculator must pass before it can publish.

What this assumes

  • Inputs are real numbers in the units shown.
  • The result is the exact value of asin(x) in degrees, x in [-1,1]; general information, not professional advice.

Frequently asked questions

What formula does this use?

asin(x) in degrees, x in [-1,1], the standard form documented by NIST DLMF (trigonometric functions).

Does the result ever change over time?

No. This is a pure formula with no external rate, so the same inputs always give the same result.

Official sources and verification

Reviewed by the CalculatorHub team, edited by James Graham, 2026-07-09. See our methodology. General information, not professional advice.