How to find exact value of tan(330)?

1 Answer
Nov 7, 2017

tan(330) =- 1/sqrt3

Explanation:

tan(x - y) = [ tanx - tany ] / [ 1 + tanx tany]
tan(360-30) = [ tan360 - tan30 ] / [ 1 + tan360 tan30]

We know that:
tan360=0
tan30=1/sqrt3

tan(330) = [0 - 1/sqrt3 ] / [ 1 + 0 *1/sqrt3]

tan(330) =- 1/sqrt3