cscθ is the same as 1/sinθ
Explanation:
csc stands for cosec which is equivalent to 1/sinθ
The expression is thus equal to 1/[sin(4π/3)]
Since we know by consulting the unit circle that sin(4π/3) = - [(√3)/2]
we get the expression 1/[sin(4π/3)] = 1/(-√3/2)
which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3
