Cotan: meaning, definitions and examples
๐
cotan
[ kษสหtรฆnสคษnt ]
mathematics, trigonometry
The cotangent, or cotan, is a trigonometric function defined as the ratio of the adjacent side to the opposite side in a right triangle. It is the reciprocal of the tangent function and can also be expressed as the cosine of an angle divided by the sine of that angle.
Synonyms
Examples of usage
- The cotan of 45 degrees equals 1.
- To find the cotan of an angle, divide the length of the adjacent side by the length of the opposite side.
- In a right triangle, using cotan helps in determining the ratio between sides.
Translations
Translations of the word "cotan" in other languages:
๐ต๐น cotangente
๐ฎ๐ณ เคเฅเคเฅเคเคเคจเฅเค
๐ฉ๐ช Kotangens
๐ฎ๐ฉ cotangen
๐บ๐ฆ ะบะพัะฐะฝะณะตะฝั
๐ต๐ฑ cotangens
๐ฏ๐ต ใณใฟใณใธใงใณใ
๐ซ๐ท cotangente
๐ช๐ธ cotangente
๐น๐ท kotanjant
๐ฐ๐ท ์ฝํ์ ํธ
๐ธ๐ฆ ููุชุงูุฌููุช
๐จ๐ฟ kotangens
๐ธ๐ฐ kotangens
๐จ๐ณ ไฝๅ
๐ธ๐ฎ kotangens
๐ฎ๐ธ kotangent
๐ฐ๐ฟ ะบะพัะฐะฝะณะตะฝั
๐ฌ๐ช แแแขแแแแแแขแ
๐ฆ๐ฟ kotanjant
๐ฒ๐ฝ cotangente
Etymology
The term 'cotangent' is derived from Latin and Middle English. The prefix 'co-' signifies 'complement', which indicates its relationship to the tangent function - specifically, that it is the tangent of the complementary angle. The concept of cotangent was used by ancient mathematicians and later formalized in the context of trigonometry. Its introduction into mathematical terminology occurred in the 17th century, as more rigorous definitions of trigonometric functions were established. The cotangent was critical in developing calculus and further understanding circular functions, aiding mathematicians in solving various equations and problems related to triangles and angles.