Math Doubts

$\cot{(0^°)}$ value

$\cot{(0^°)} \,=\, \infty$

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

Introduction

The cotangent of angle zero degrees is a value that represents the quotient of length of adjacent side by the length of opposite side when the angle of a right triangle is equal to zero degrees.

The co-tangent of angle zero degrees is written as $\cot{(0^°)}$ in Sexagesimal system and its exact value is equal to infinity. Mathematically, it is written in the following form in trigonometry.

$\cot{(0^°)} \,=\, \infty$

The cot of angle zero degrees is expressed in two other forms too in trigonometry.

circular system

The co-tangent of zero degrees is expressed in mathematics as cot of zero radian in circular system and it is written mathematically as $\cot{(0)}$ in trigonometry.

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

Centesimal system

The cotangent zero degrees is also expressed as cot of angle zero grades. It is written in mathematical form as $\cot{(0^g)}$ in Centesimal system.

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

Proofs

In three different methods, the exact value of cotangent of zero degrees can be derived in mathematics.