$\cos{(36^°)} \,=\, \dfrac{\sqrt{5}+1}{4}$

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

The cosine of angle thirty six degrees is a value that represents the ratio of length of adjacent side to length of hypotenuse when the angle of a right triangle is thirty six degrees.

In the sexagesimal system, the cos of angle thirty six degrees is written as $\cos{(36^°)}$ in mathematical form and its exact value in fraction form is the quotient of square root of five plus one by four. It is written in the following mathematical form in trigonometry.

$\cos{(36^°)} \,=\, \dfrac{\sqrt{5}+1}{4}$

The value of cosine of thirty six degrees is an irrational number and its value is written in decimal form as follows.

$\implies$ $\cos{(36^°)} \,=\, 0.8090169943\cdots$

$\implies$ $\cos{(36^°)} \,\approx\, 0.809$

The cos of thirty six degrees is also written in two other forms.

The cosine of sixty degrees is expressed as the cos of quotient of pi by five radian in the circular system. It is written in mathematical form as $\cos{\Big(\dfrac{\pi}{5}\Big)}$.

$\cos{\Big(\dfrac{\pi}{5}\Big)} \,=\, \dfrac{\sqrt{5}+1}{4}$

On the basis of centesimal system, the cosine thirty six degrees is written as cosine of angle forty grades and it is written as $\cos{\Big(40^g\Big)}$ in mathematical form.

$\cos{\Big(40^g\Big)} \,=\, \dfrac{\sqrt{5}+1}{4}$

Learn how to derive the exact value of cosine of thirty six degrees in trigonometric and geometric methods.

Latest Math Topics

Jan 06, 2023

Jan 03, 2023

Jan 01, 2023

Dec 26, 2022

Dec 08, 2022

Latest Math Problems

Nov 25, 2022

Nov 02, 2022

Oct 26, 2022

Oct 24, 2022

Sep 30, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved