Math Doubts

$\cos{(0^°)}$ 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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