How do you evaluate cot (4pi/3)?

Question

26262 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-18T06:29:06

#cot((4pi)/3)=sqrt3/3#

#(4pi)/3# is a special angle.

#cot((4pi)/3)#

#=(cos((4pi)/3))/(sin((4pi)/3))#

#=[(-1/2)]/[(-sqrt3/2)]#

#=(-1/cancel2)*(-cancel2/sqrt3)#

#=1/sqrt3*sqrt3/sqrt3#

#=color(red)(sqrt3/3)#