He goes through a lot of trouble which makes him brave. He encounters Scylla which either takes all of his men or six on a boat. Odysseus goes the other direction allowing Scylla to take six men instead of all because 6 is better than all. He ends up surviving which is brave because he took the route with Scylla.
Last but not least, he shows heroic actions by showing great leadership by getting out of sticky situations. Towards the end, the Cyclops pray to the gods that Odysseus gets all the trouble he can get back home. They pray that he faces terrible storms, creatures, etc. He shows leadership by telling his men to stay brave whether or not they get back. He keeps moving with his men and face everything that has been prayed upon.
In conclusion, Odysseus shows and expresses Heroic actions through the 1st part of the Odyssey by being brave, showing leadership with his men, and retaliating. After all,these things made him very