There are 12 Trophies that can be collected.

Bronze

Goody Two Shoes    
Bring 20 Prisoners to the Church in single player     

Airborne    
Pilot a helicopter in single player     

A Mess of Stiff Staff Sergeants    
Kill Inferno's Sergeants in single player     

Jonesing for Relics    
Return all the Relics to the Museum in single player     

From Cold Dead Hands    
Steal all Inferno's Weapon Crates in single player     

Supply Problems    
Destroy all Mining Carts in the Kaabe Mountains in single player     

Inferno's Briefs    
Steal all the Document Briefs in single player     

To Hell and Back    
Complete Mission 9 on any Difficulty in single player

The Daily Grind    
Get a character to max level

Silver

Tough Stuff    
Complete all missions on Hardcore Difficulty

Lord Master of Great Skill    
Get 'Skill Level – Alien' in single player

Gold

Mega Kill Combo    
Get a 50x Damage Streak in single player

http://www.ps3trophies.org/game/renegade-ops/trophies/