Question

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

Answer 1

Step-by-step explanation:

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

We know that, $\tan\theta=\dfrac{\sin \theta}{\cos\theta}$

Here, $\theta=60^{\circ}$

So,

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

Hence, this is the required solution.