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arc tangent

arc tangent

1 7.9
The angle whose tangent equals a given number
  • noun
  • /ɑrk ˈtænɡənt/
  • Specialized
translation icon : arcotangente
  • To calculate the angle, you need to compute the arc tangent of the ratio of the opposite side to the adjacent side.

Examples

  • In trigonometry, the arc tangent function is used to find the angle when given the tangent value.

  • So we have the arc tangent of X is equal to.

  • You can use arc tangent here and solve for delta.

  • Here we're calculating this length in Y over this length in X and taking the arc tangent of it.

  • The arc tangent of a number helps determine the angle in a right triangle.

Synonyms

inverse tangent
vsarc tangent
  • Specialized
1 6.5

A math function that gives the angle whose tangent equals a number

is the other two-word phrasing used for the same meaning
arctangent
vsarc tangent
  • Specialized
9.9

The angle whose tangent is a given number

is written as two separate words
arctan
vsarc tangent
  • Specialized
9.3

An angle whose tangent equals a given number

is written in full words rather than as an abbreviation

Surface Forms

arc tangent singular
arc tangents plural

Morphology

arc + tangent

While the constituent 'tangent' clearly ties the term to the trigonometric function, the use of 'arc' to signal the inverse function is a specialized mathematical convention rather than the common noun sense 'curved shape'. An average B1 learner who knows the literal meanings of 'arc' and 'tangent' would probably not infer 'arctangent = the inverse of tangent' without prior exposure to math terminology, so the relation is partially transparent but not fully predictable.

Etymology

Arc tangent comes from a simple picture of a circle: a tangent is a straight line that just touches the circle, and an arc is the curved part of the circle that shows an angle. One easy way to remember it is this — if you know how steep the line is, the arc tangent 'finds the angle' on the circle that matches that steepness.