Arrogant, brash (5)
I believe the answer is:
cocky
I believe this is a double definition.
'arrogant' is the first definition.
(I've seen this before)
'brash' is the second definition.
(I've seen this before)
(Other definitions for cocky that I've seen before include "Cheekily self-assured" , "Brash" , "Cheekily conceited" , "Conceited and arrogant like rooster" , "Self-important, conceited" .)