Question

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

Answer 1

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.