Question

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

Answer 1

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

Explanation:

`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`