# $\csc{(30^°)}$ value

$\csc{(30^°)} \,=\, 2$

The value of cosecant in a thirty degrees right triangle is called the cosecant of angle thirty degrees.

## Introduction

The cosecant of angle thirty degrees is a value that represents the ratio of lengths of hypotenuse to opposite side when the angle of a right triangle equals to thirty degrees.

The cosecant of angle thirty degrees in Sexagesimal system is written as $\csc{(30^°)}$ or $\operatorname{cosec}{(30^°)}$. The exact value of cosecant of thirty degrees is equal to two. It is an integer and written in the following mathematical form.

$\csc{(30^°)} \,=\, 2$

The co-secant of angle thirty degrees can be written in two other forms too in trigonometry.

### circular system

The cosecant of angle thirty degrees in circular system is written as the cosecant of quotient of pi by six radian. So, it is mathematically written as $\csc{\Big(\dfrac{\pi}{6}\Big)}$ in trigonometric mathematics.

$\csc{\Big(\dfrac{\pi}{6}\Big)} \,=\, 2$

### Centesimal system

The cosecant thirty degrees is also written in Centesimal system as the cosecant of angle thirty three and one third grades. It is written as $\csc{\Big(33\dfrac{1}{3}^g\Big)}$ in mathematical form.

$\csc{\Big(33\dfrac{1}{3}^g\Big)} \,=\, 2$

#### Proofs

The exact value of cosecant of thirty degrees can be proved in three possible methods in mathematics.

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