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Find the exact value of csc 4pi/3

What I have determined thus far:
4pi/3 = 60 degrees
sin = square root of 3/2

4 answers

csc=1/sin=1/sqrt(3)/2)=
= 2/sqrt3

And the exact value for csc4pi/3 is determined how?

-2sqrt3/3?

actually, 4pi/3 = pi + pi/3,

csc 4pi/3 = -csc pi/3 = -2/√3

or, if you insist on rational denominators, -2√3/3

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