How do you find the exact value for $tan 120$ ?

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Answer 1 · 2018-03-17T06:29:59

$color(indigo)(tan 120 = -sqrt3$

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$hat 120 = hat (120/180) = hat (2pi)/3$

Angle falls in II Quadrant and $tan$ is negative.

$:. tan 120 = tan ((2pi)/3) = tan ((2pi)/3 - pi) = - tan( pi/3)$

$- tan (pi/3) = - sqrt 3$

How do you find the exact value for tan 120tan 120?