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

Sagot :

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.

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