Answer:
cot x
Step-by-step explanation:
using the identities
csc x = [tex]\frac{1}{sinx}[/tex]
sin([tex]\frac{\pi }{2}[/tex] - x) = cos x
then
csc x × sin ([tex]\frac{\pi }{2}[/tex] - x)
= [tex]\frac{1}{sinx}[/tex] × cosx
= [tex]\frac{cosx}{sinx}[/tex]
= cot x
