# $\tan{(30^°)}$ value

The exact value of tan function if angle of right triangle is $30$ degrees is called tan of $30$ degrees. It’s written as $\tan{(30^°)}$ in mathematical form according to Sexagesimal system.

$\tan{(30^°)} \,=\, \dfrac{1}{\sqrt{3}}$

The exact value of tan of angle $30$ degrees is $\dfrac{1}{\sqrt{3}}$ in fraction from. It is an irrational number and is equal to $0.5773502691\ldots$ in decimal form.

## Alternative form

$\tan{(30^°)}$ is written as $\tan{\Big(\dfrac{\pi}{6}\Big)}$ in circular system and also written as $\tan{\Bigg(33\dfrac{1}{3}^g\Bigg)}$ in centesimal system alternatively.

$(1) \,\,\,$ $\tan{\Big(\dfrac{\pi}{6}\Big)} \,=\, \dfrac{1}{\sqrt{3}}$

$(2) \,\,\,$ $\tan{\Bigg(33\dfrac{1}{3}^g\Bigg)} \,=\, \dfrac{1}{\sqrt{3}}$

### Proof

You learned the $\tan{\Big(\dfrac{\pi}{6}\Big)}$ value and it’s your time to learn how to $\tan{(30^°)}$ value is derived in trigonometry.

Latest Math Problems

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

###### Maths Topics

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

###### Maths Problems

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

Learn solutions

###### Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.