Math Doubts

Cosecant values

The trigonometric function cosecant gives a value for any angle of a right triangle and each value is called the cosecant value. There are numerous cosecant values but five of them are used in most of the cases in trigonometry and they are used to derive the remaining cosecant function values mathematically.


The special values of cosecant function for some standard angles are listed here with proofs in a tabular form. The cosecant chart is really helpful in mathematics for studying the trigonometry in advanced level..

Angle $(\theta)$ Cosecant value $(\csc{\theta})$
Degrees Radian Grades Fraction Decimal Proof
$0^°$ $0$ $0^g$ $\infty$ $\infty$
$30^°$ $\dfrac{\pi}{6}$ $33\dfrac{1}{3}^g$ $2$ $2$
$45^°$ $\dfrac{\pi}{4}$ $50^g$ $\sqrt{2}$ $1.4142$
$60^°$ $\dfrac{\pi}{3}$ $66\dfrac{2}{3}^g$ $\dfrac{2}{\sqrt{3}}$ $1.1547$
$90^°$ $\dfrac{\pi}{2}$ $100^g$ $1$ $1$
Math Doubts

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved