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arccotangent

arccotangent

9.9
An angle whose cotangent equals a given number
  • noun
  • /ˌɑrkəˈtænʤənt/
  • Specialized
translation icon : arcocotangente
  • To find the angle, take the arccotangent of the given value.

Examples

  • Many calculators do not have a dedicated button for arccotangent, so you may need to use other trigonometric identities.

  • The arccotangent function is commonly used in advanced calculus to solve equations involving cotangents.

  • The arccotangent function is essential in trigonometry.

  • Can you calculate the arccotangent of 1?

  • To determine the angle whose cotangent is 0, you must calculate the arccotangent of 0.

  • The arccotangent function helps engineers find angles in applications involving slopes.

  • When dealing with trigonometric functions, the arccotangent is used to find the correct angle from a given ratio.

Synonyms

arc cotangent
vsarccotangent
  • Specialized
9.9

An angle whose cotangent equals a given number

is the same but written as a single word without a space
inverse cotangent
vsarccotangent
  • Specialized
9.9

An angle whose cotangent is a given number

is the same but uses a compact technical label instead of plain wording

Surface Forms

arccotangent singular
arccotangents plural

Morphology

arccotangent = cotangent (semi-transparent) = arc + cotangent

Formed by adding 'arc-' to 'cotangent' to indicate the inverse function; understandable in a mathematical context but may be opaque to general B1 learners.

Etymology

The word arccotangent comes from arc, meaning 'a part of a circle' and so 'an angle', and cotangent, where tangent comes from a word meaning 'to touch'. So arccotangent is the 'arc' or angle that has a given cotangent number, which is why this function gives you the angle from a cotangent value.