# Cosecant

Pronunciation: /koʊˈsi.kænt/ Explain
Abbreviations: csc, csec
 Click on the blue points and drag them to change the figure. Manipulative 1 - Cosecant Created with GeoGebra.

A cosecant is defined to be the multiplicative inverse of sine.[2] In right triangle trigonometry, the cosecant is equal to the length of the hypotenuse divided by the length of the side opposite the angle.

The arccosecant is the functional inverse of cosecant. The arccosecent is denoted arccsc() or csc-1().

### References

1. McAdams, David E.. All Math Words Dictionary, cosecant. 2nd Classroom edition 20150108-4799968. pg 49. Life is a Story Problem LLC. January 8, 2015. Buy the book

• McAdams, David E.. Sine. allmathwords.org. Life is a Story Problem LLC. 6/27/2018. https://www.allmathwords.org/en/s/sine.html.

McAdams, David E. Cosecant. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/cosecant.html.

### Revision History

4/16/2019: Updated equations and expressions to new format. (McAdams, David E.)
3/9/2019: Corrected formula in manipulative. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
11/18/2008: Changed manipulative to GeoGebra. (McAdams, David E.)
4/30/2008: Initial version. (McAdams, David E.)

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