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English

arccos

|arc-cos|

C1

🇺🇸

/ˈɑɹkoʊs/

🇬🇧

/ˈɑːkəʊs/

inverse of cosine

Etymology
Etymology Information

'arccos' originates from modern mathematical English, formed as an abbreviation of 'arc cosine'. 'arc' comes from Latin 'arcus' meaning 'arch', and 'cos' is short for 'cosine', which itself comes from Medieval Latin 'cosinus'.

Historical Evolution

'cosine' changed from Medieval Latin 'cosinus' (used in early trigonometry) and entered English mathematical vocabulary; 'arc cosine' was coined to denote the angle (arc) corresponding to a given cosine value, and that phrase was later contracted to the shortened written form 'arccos'.

Meaning Changes

Initially, 'arc cosine' described the arc (angle) corresponding to a cosine value; over time it came to name the inverse function of cosine and is now commonly written and spoken as 'arccos'.

Meanings by Part of Speech

Noun 1

the inverse function of the cosine function; for a value x in [-1,1], arccos(x) is the angle y in [0, π] such that cos(y) = x.

arccos(0.5) = π/3

Synonyms

Last updated: 2025/10/03 23:01