Math Doubts

$\csc{(0^°)}$ value

$\csc{(0^°)} \,=\, \infty$

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

Introduction

The cosecant of angle zero degrees is a value. It actually represents the quotient of length of hypotenuse by the length of opposite side when the angle of a right triangle equals to zero angle.

The cosecant of angle zero degrees is written as $\csc{(0^°)}$ or $\operatorname{cosec}{(0^°)}$ in Sexagesimal system and the exact value of cosecant of angle zero radian is equal to infinity. In mathematics, the cosecant of angle zero degrees is written in mathematical form as follows.

$\csc{(0^°)} \,=\, \infty$

The cosecant of angle zero degrees is written in two other forms too in trigonometry.

circular system

In circular system, the cosecant of zero degrees is expressed as cosecant of zero radian and it is written as $\csc{(0)}$ mathematically in trigonometric mathematics.

$\csc{(0)} \,=\, \infty$

Centesimal system

The cosecant zero degrees is also expressed as cosecant of angle zero grades. Mathematically, it is written in mathematical form as $\csc{(0^g)}$ in Centesimal system.

$\csc{(0^g)} \,=\, \infty$

Proofs

In three distinct methods, the exact value of cosecant of zero degrees can be derived in trigonometry mathematics.

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