Question

Use a half-angle identity to simplify csc² (x/2)

Answer 1

Below

Explanation:

csc^2 = 1/sin^2

sin ( x/2) = +- sqrt (( 1-cos x)/2) <====half angle identity

so csc^2 (x/2) becomes : 1/ ((1-cos x)/2) = 2/ ( 1-cos x)