How to find exact value of #tan(330)#?

1 Answer
F
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#

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