Question

Find the value of $\tan {480}^{\circ }$

Answer 1

Given, $\tan {480}^{\circ }$ $=\tan (5\times {90}^{\circ }+{30}^{\circ })$

Here $n=5$ is odd, so $\tan$ changes to $\cot$.

$=\cot \left({30}^{\circ }\right)$ since ${480}^{\circ }$ lies in first quadrant.

$=\frac{1}{\sqrt{3}}$