# $\cos{(0^°)}$ value

$\cos{(0^°)} \,=\, 1$

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

## Introduction

The cosine of angle zero degrees is a value, which represents the quotient of length of adjacent side by the length of hypotenuse when the angle of a right triangle is equal to zero degrees.

In Sexagesimal system, the cos of angle zero degrees is written as $\cos{(0^°)}$ and the exact value of cosine of angle zero degrees is equal to one. It is written mathematically in the following form in trigonometry.

$\cos{(0^°)} \,=\, 1$

The cosine of angle zero degrees is also expressed in two other forms in trigonometric mathematics.

### circular system

The cosine of zero degrees is expressed as cosine of zero radian. In circular system, it is written in mathematical form as $\cos{(0)}$.

$\cos{(0)} \,=\, 1$

### Centesimal system

In the same way, the cosine zero degrees is also expressed as cosine of angle zero grades and it is written in mathematical form as $\cos{(0^g)}$ in Centesimal system.

$\cos{(0^g)} \,=\, 1$

#### Proofs

The exact value for cosine of zero degrees can be derived in three different methods in mathematics.

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