Solve #cot (x/2) = sqrt(3)/3# ?

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Answer 1 · 2018-05-16T00:34:40

I got 2pi/3

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explanation is in picture

Answer 2 · 2018-05-16T01:02:20

#x = (2pi)/3 + 2kpi#

#cot (x/2) = sqrt3/3#
#tan (x/2) = 1/(cot) = 3/sqrt3 = sqrt3#
Trig table and unit circle give -->
#x/2 = pi/3 + kpi#
#x = (2pi)/3 + 2kpi#