$\cot{(30^°)}$ value

$\cot{(30^°)} \,=\, \sqrt{3}$

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

Introduction

The co-tangent of angle thirty degrees is a value that represents the ratio of lengths of adjacent side to opposite side when the angle of a right triangle equals to thirty degrees.

According to Sexagesimal system, the cotangent of angle thirty degrees is written as $\cot{(30^°)}$ and its exact value is equal to square root of three, which is an irrational number and it is written mathematically in the following form.

$\cot{(30^°)} \,=\, \sqrt{3}$

The following is the value of cot of thirty degrees in decimal form.

$\cot{(30^°)} \,=\, 1.7320508075\cdots$

$\implies$ $\cot{(30^°)} \,\approx\, 1.7321$

The cot of angle thirty degrees can also be expressed in two other mathematical forms in trigonometry.

circular system

In mathematics, the cotangent of angle thirty degrees is written as cot of quotient of pi by six radian in circular system and it is written as $\cot{\Big(\dfrac{\pi}{6}\Big)}$ mathematically in trigonometry.

$\cot{\Big(\dfrac{\pi}{6}\Big)} \,=\, \sqrt{3}$

Centesimal system

The cot thirty degrees is also written as cotangent of angle thirty three and one third grades and it is expressed in mathematical form as $\cot{\Big(33\dfrac{1}{3}^g\Big)}$ in Centesimal system.

$\cot{\Big(33\dfrac{1}{3}^g\Big)} \,=\, \sqrt{3}$

Proofs

In mathematics, the exact value of cotangent of thirty degrees can be derived possibly in three distinct mathematical methods.

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