Question

Which of the following is the exact value of tan 30° ?

Answer 1

The expression is given as

`\tan 30^(\circ)`

The exact value of tan 30 is

`\tan 30^(\circ)=\frac{1}{\sqrt[]{3}}`

Simplify it by multiply square root 3 in denominator and numerator.

`\tan 30^(\circ)=\frac{\sqrt[]{3}}{\sqrt[]{3}*\sqrt[]{3}}=\frac{\sqrt[]{3}}{3}`

Hence the correct option is C.