Use even and odd properties of the trigonometric functions to find the exact value of the expression. csc (-π/6)

Recall that the reciprocal of the csc function is the sin function, which is an odd function. The angle - pi/6 has its terminal side in Quadrant 4, for which the opposite side is negative, important in determining the sign of csc (-pi/6).

sin (-pi/6) = - sin (pi/6) = - 1/2.

Thus, csc (-pi/6) = - 1 / (-1/2), or + 2 (answer)