Definitions for cosecant
koʊˈsi kənt, -kæntco·se·cant

Princeton's WordNetRate this definition:0.0 / 0 votes

1. cosecant, cosecnoun

   ratio of the hypotenuse to the opposite side of a right-angled triangle

WiktionaryRate this definition:0.0 / 0 votes

1. cosecantnoun

   In a right triangle, the reciprocal of the sine of an angle. Symbols: cosec, csc

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Cosecantnoun

   In geometry. The secant of an arch, which is the complement of another to ninety degrees. John Harris

WikipediaRate this definition:0.0 / 0 votes

1. cosecant

   In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena through Fourier analysis. The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function, and an analog among the hyperbolic functions. The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extend the sine and cosine functions to functions whose domain is the whole real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) are often used; then the domain of the other functions is the real line with some isolated points removed. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane with some isolated points removed.

ChatGPTRate this definition:0.0 / 0 votes

1. cosecant

   Cosecant is a mathematical function that is the reciprocal of the sine function. It is often abbreviated as "csc". In the context of a right triangle, the cosecant of an angle is the ratio of the length of the hypotenuse to the length of the opposite side. In the unit circle, it is the length of the line segment from the origin to the point on the unit circle divided by the y-coordinate of the point.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Cosecantnoun

   the secant of the complement of an arc or angle. See Illust. of Functions

2. Etymology: [For co. secans, an abbrev. of L. complementi secans.]

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Cosecant

   kō-sē′kant, n. (trig.) the secant of the complement of an angle.

Matched Categories

1. • Trigonometric Function

Usage in printed sourcesFrom: 

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How to pronounce cosecant?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

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   Zira

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   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say cosecant in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of cosecant in Chaldean Numerology is: 4

2. Pythagorean Numerology

   The numerical value of cosecant in Pythagorean Numerology is: 8

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=cosecant
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Cosecant
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=cosecant
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Cosecant
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/cosecant
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=cosecant
8. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=cosecant