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

1 Answer

sankarankalyanam

Mar 17, 2018

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

Explanation:

enter image source here

#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#

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