arcsine

1 9.9

A function that gives the angle for a given sine value

noun
/ˈɑrkˌsaɪn/

Specialized

: arcoseno

The former variable was transformed to approximate normality, using a standard transformation for percentage data (arcsine of the square root of x, multiplied by 57.2957).
arcsine transform

Examples

So we'll get Y equals cosine of arcsine of the square root of X.
So we get Theta is equal to arcsine of X.
So first the inverse sine function is called Y equals arcsine of X.
To find the angle whose sine is 0.5, use the arcsine function, which gives you 30 degrees.
In trigonometry, the arcsine of a number is the angle whose sine is that number.
The calculator has a button for arcsine, which allows you to easily compute angles from sine values.

Synonyms

arc sine

vsarcsine

Specialized

1 8.7

An angle whose sine is a given number

has identical meaning but is written as two separate words

arcsin

vsarcsine

Specialized

9.9

An angle whose sine equals a given number

has identical meaning but appears as the full word form

inverse sine

vsarcsine

Specialized

8.0

A way to find the angle whose sine equals a given number

has identical meaning but focuses on the descriptive phrase rather than notation

Surface Forms

arcsine singular

arcsines plural

Morphology

arcsine = arc + sine (semi-transparent) = arc + sine

The word is a compound of 'arc' + 'sine' and in mathematics 'arc-' conventionally denotes the inverse trig function, which is clear to those with trig knowledge but not to general learners.

Etymology

The word arcsine comes from two parts, arc and sine; an 'arc' is a 'piece of a circle', so arcsine is a way to find the 'arc' or 'angle' on the circle that has that sine value. So, the arcsine function gives the angle whose sine is a given number.