In mathematics, a function or relationship that is opposite to a tangent function; sometimes related to inverse trigonometric functions.
From anti- (against, or used as a prefix for inverse functions) + tangent (from Latin tangere 'to touch'). Mathematical terminology from advanced trigonometry.
While 'antitangent' isn't standard mathematical terminology (we use 'arctangent' or 'inverse tangent' instead), it shows how the prefix 'anti-' naturally appeals to mathematicians seeking words for opposites—even if the profession eventually standardizes on other terms.
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