Question:
Find the value of
$\tan \left(-300^{\circ}\right)$
Solution:
To find: Value of tan (-300°)
We have,
$\tan \left(-300^{\circ}\right)=-\tan \left(300^{\circ}\right)$
${[\because \tan (-\theta)=-\tan \theta] }$
$=-\tan \left[90^{\circ} \times 3+30^{\circ}\right]$
Clearly, $300^{\circ}$ is in IV $^{\text {th }}$ Quadrant and the multiple of $90^{\circ}$ is odd
$=-\cot 30^{\circ}$
$=-\sqrt{3}\left[\because \cot 30^{\circ}=\sqrt{3}\right]$