# $\sin{(0^\circ)}$ value

$\sin{(0^\circ)} \,=\, 0$

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

## Introduction

The sine of angle zero degrees is a value that represents the quotient of length of opposite side by the length of hypotenuse when the angle of a right triangle is zero degrees.

In the Sexagesimal system, the sine of angle zero degrees is written as $\sin{(0^\circ)}$. The exact value of sine of angle zero degrees is equal to zero. It is written in mathematical form as follows in trigonometry.

$\sin{(0^\circ)} \,=\, 0$

The sine of angle zero degrees is also written in two other forms in mathematics.

### Circular system

The sine of zero degrees is expressed as sine of zero radian. It is written in mathematical form as $\sin{(0)}$ in circular system.

$\sin{(0)} \,=\, 0$

### Centesimal system

Similarly, the sine zero degrees is also expressed as sine of angle zero grades. It is written in mathematical form as $\sin{(0^g)}$ in Centesimal system.

$\sin{(0^g)} \,=\, 0$

#### Proofs

The exact value of sine of zero degrees can be derived possibly in two different methods in mathematics.