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arcsin

arcsin

9.9
An angle whose sine equals a given number
  • noun
  • /ˈɑrkˌsɪn/
  • Specialized
translation icon : arcoseno
  • All cover variables were transformed with the arcsin square root transformation, and plant species richness with the square root transformation to meet the distributional assumption.
  • arcsin transformation

Examples

  • In trigonometry, the arcsin of 0.5 is 30 degrees, which means that the sine of 30 degrees equals 0.5.

  • The confidence intervals assume a binomial distribution for the number of words correct and use an arcsin transformation to construct a confidence interval.

    Academic text (2010)
  • Arcsin transformations were performed on the trip proportion values before statistical analysis (Winer, 1971).

    Academic text (1992)
  • Calculating the arcsin helps find the angle when the sine value is known, such as arcsin(1) being equal to 90 degrees.

  • To solve for the angle in a right triangle, use the arcsin function to determine the angle whose sine equals the opposite side divided by the hypotenuse.

Synonyms

arcsine
vsarcsin
  • Specialized
1 9.9

A function that gives the angle for a given sine value

has identical meaning but is written as a short symbolic form
arc sine
vsarcsin
  • Specialized
1 8.7

An angle whose sine is a given number

has identical meaning but is written as a condensed symbolic form
inverse sine
vsarcsin
  • Specialized
8.0

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

has identical meaning but appears as a short technical symbol

Surface Forms

arcsin singular
arcsins plural

Morphology

arcsin = arc + sine (transparent) = arc + sine

Formed from 'arc' + 'sine' meaning the arc (angle) whose sine is a given value, a standard and directly interpretable mathematical formation.

Etymology

Arcsin is made of two parts, arc and sin. The arc part means 'curved part of a circle', like an 'arch', and sin comes from sine, the math function that gives a value from a triangle. So arcsin is the angle on the circle that has that 'sine' value, in other words the angle whose sine is a given number.