# $\cot{45^\circ}$ value

## Exact value

$\cot{45^\circ} \,=\, 1$

### Introduction

The value of cotangent in a forty five degrees right angled triangle is called the cot of angle forty five degrees. In sexagesimal system, the angle $45$ degrees is written as $45^\circ$. So, the cot of angle forty five degrees is expressed as $\cot{45^\circ}$ in trigonometry. Now, let’s learn what the cot $45$ degrees value is.

$\cot{(45^\circ)} \,=\, 1$

The exact value of cot $45$ degrees is an integer, and it is equal to $1$. So, no need to write the cot $45$ degrees value in either decimal or fraction form.

#### Other forms

In trigonometry, the cot of $45$ degrees value is written alternatively in two distinct forms.

##### Circular system

The cotangent of forty degrees is written as cot of pi divided by four radians in circular system. So, the exact value of cot of $\pi$ divided by $4$ radians is equal to one.

$\cot{\Big(\dfrac{\pi}{4}\Big)} \,=\, 1$

##### Centesimal system

Likewise, the cot of angle $45$ degrees is also expressed as cot of fifty gradians as per centesimal angle measuring system. Therefore, the exact value of cot $50$ grades is equal to one.

$\cot{(50^g)} \,=\, 1$

##### Proof

Learn how to find that the exact value of cot forty five degrees is equal to one by constructing a right triangle with an angle of $45^\circ$.

###### Math Questions

The math problems with solutions to learn how to solve a problem.

Learn solutions

Practice now

###### Math Videos

The math videos tutorials with visual graphics to learn every concept.

Watch now

###### Subscribe us

Get the latest math updates from the Math Doubts by subscribing us.