The correct answer of the given question above would be option B. The cofunction that has the same value as the given expression csc 52° is sec 38°. We got sec 38° by using this solution:
csc (x) = sec ( 90 - x)
so, csc(52) = sec
(90 - 52) = sec (38)
Thus, giving us the result of sec 38°.
Hope this helps!