atan2

arctangent function with two arguments
Thing inverse_trigonometric_function Q776598
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atan2

Summary

atan2 is an inverse trigonometric function[1]. atan2 draws 600 Wikipedia views per month (inverse_trigonometric_function category, ranking #1 of 5).[2]

Key Facts

  • atan2's image is recorded as Atan2 diagram.svg[3].
  • atan2's instance of is recorded as inverse trigonometric function[4].
  • atan2's instance of is recorded as binary function[5].
  • atan2's based on is recorded as arcus tangent[6].
  • atan2's Commons category is recorded as Atan2[7].
  • atan2's Freebase ID is recorded as /m/0b3kdh[8].
  • atan2's definition domain is recorded as punctured real plane[9].
  • atan2's codomain is recorded as set of real numbers[10].
  • atan2's partial function domain is recorded as real plane[11].
  • atan2's different from is recorded as arcus tangent[12].
  • atan2's defining formula is recorded as \operatorname{atan2}(y, x) = \begin{cases} \arctan\left(\frac y x\right) & \qquad x > 0 \ \arctan\left(\frac y x\right) + \pi& \qquad y \ge 0 , x < 0 \ \arctan\left(\frac y x\right) - \pi& \qquad y < 0 , x < 0 \ +\frac{\pi}{2} & \qquad y > 0 , x = 0 \ -\frac{\pi}{2} & \qquad y < 0 , x = 0 \ \text{undefined} & \qquad y = 0, x = 0 \end{cases}[13].
  • atan2's schematic is recorded as Atan2definition.svg[14].
  • atan2's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • atan2's Microsoft Academic ID is recorded as 128709398[16].

Why It Matters

atan2 draws 600 Wikipedia views per month (inverse_trigonometric_function category, ranking #1 of 5).[2] atan2 has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[17] atan2 is known by 6 alternative names across languages and contexts.[18]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). atan2. Retrieved May 3, 2026, from https://4ort.xyz/entity/atan2
MLA “atan2.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/atan2.
BibTeX @misc{4ortxyz_atan2_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{atan2}}, year = {2026}, url = {https://4ort.xyz/entity/atan2}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): atan2 — https://4ort.xyz/entity/atan2 (retrieved 2026-05-03)

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