we are given the expression csc (2 pi / 3 ) and is asked to evaluate the expression. According to the trigonometric identities, the inverse of cosecant (CSC) is sine (sin) function. hence using the calculator in radians mode, sin 2pi/3 is equal to 2/sqrt 3. Taking the reciprocal of the answer, the final answer is 2 sqrt3 over 3.