Question

Find the value of tan((-4 pi)/(3))​

Answer 1

Step-by-step explanation:

$\tan( - \alpha ) = - \tan( \alpha )$

so tan(-4π/3) = -tan(4π/3)

4π/3=4×180/3=4×60=240

so = -tan(240°)

= -tan(180°+60°)

$\tan(180 + \alpha ) = + \tan( \alpha )$

= - (+tan60°)

= - ( √3 )

so the answer is -√3