arc sine
1
8.7
- noun
- /ɑrk saɪn/
- Specialized
:
arcoseno
- In trigonometry, the arc sine function is used to determine the angle when the sine value is known.
Examples
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To find the angle of elevation, we can calculate the arc sine of the ratio between the opposite side and the hypotenuse.
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Accordingly, the arc sine transformation was employed with these data to ensure compatibility with the parametric ANOVAs (Kerlinger, 1986).
Academic text (1994) -
The arc sine is essential when solving for angles in right triangles using the sine ratio.
Synonyms
1
9.9
A function that gives the angle for a given sine value
An angle whose sine equals a given number
A way to find the angle whose sine equals a given number
Surface Forms
Morphology
Both constituents are recognizable — 'arc' as a curved segment and 'sine' as the trigonometric function — so learners may sense a mathematical relation, but the specific meaning 'the angle whose sine is a given number' (i.e., the inverse sine) relies on technical mathematical usage of 'arc' that is not an obvious compositional reading for a general B1 learner. Because the meaning is partially inferable from the parts but requires subject-matter knowledge to map 'arc' to an inverse-function sense, the expression is best classified as semi-transparent.
Etymology
Arc sine comes from the words arc (a part of a circle) and sine (the height a point on the circle has for a given angle). So arc sine means 'the angle' you get when you know the sine number, that is, the angle whose sine equals the given number.