Math Doubts

$\tan{(30^°)}$ 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.



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