inverse sine

8.0

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

noun
/ˈɪnvɜrs saɪn/

Specialized

: seno inverso

When given a sine value of 0.5, the inverse sine gives 30 degrees.

Now I take the inverse sine of second answer.

Examples

So first the inverse sine function is called Y equals arcsine of X.
So basically what I'm going to be doing is taking the inverse sine of both sides.
Now I take the inverse sine of second answer.

Brian McLogan
Take the inverse sine to calculate the angle. Pre-formatted table Step 5.

Academic text (2011)
To find the angle, we need to apply the inverse sine function to the sine value.
In trigonometry, the inverse sine is often referred to as arcsin, which helps to determine angles.

Synonyms

arcsine

vsinverse sine

Specialized

1 9.9

A function that gives the angle for a given sine value

is usually written as two words or a short symbol instead

arc sine

vsinverse sine

Specialized

1 8.7

An angle whose sine is a given number

is more often a single word or an abbreviated symbol

arcsin

vsinverse sine

Specialized

9.9

An angle whose sine equals a given number

is usually spelled out in full words rather than as a symbol

Surface Forms

inverse sine singular

inverse sines plural

Morphology

inverse + sine

The noun phrase 'inverse sine' is compositionally built from 'inverse' (opposite/reversed) and 'sine' (the trigonometric function), so a learner who knows both words can infer it denotes the function that reverses the sine operation (arcsin). This is a standard, cross-linguistic mathematical construction and thus readily derivable from its parts.

Etymology

Inverse sine comes from doing the sine action in reverse: you start with a number and work back to the 'angle' that made it. That's why calculators label it 'arcsin' and why inverse sine gives the 'angle' whose sine equals the number.