Find the exact value of tan 60° in simplest form with a rational denominator.

Question

asked Apr 10, 2022 129k views

1 Answer

Andrew Gillis · Answer 1 · 2022-04-17T03:47:30+0000

Explanation:

We need to find the exact value of tan 60° in simplest form with a rational denominator.

We know that,
$\tan\theta=(\sin \theta)/(\cos\theta)$

Here,
$\theta=60^(\circ)$

So,

$\tan(60)=(\sin (60))/(\cos(60))\\\\=((\sqrt3)/(2))/((1)/(2))\\\\=1.73\\\\or\\\\=(173)/(100)$

Hence, this is the required solution.