Step-by-step explanation:
We need to find the exact value of tan 60° in simplest form with a rational denominator.
We know that, [tex]\tan\theta=\dfrac{\sin \theta}{\cos\theta}[/tex]
Here, [tex]\theta=60^{\circ}[/tex]
So,
[tex]\tan(60)=\dfrac{\sin (60)}{\cos(60)}\\\\=\dfrac{\dfrac{\sqrt3}{2}}{\dfrac{1}{2}}\\\\=1.73\\\\or\\\\=\dfrac{173}{100}[/tex]
Hence, this is the required solution.
