User blog comment:Artemis Paradox/The Official Monster Hunter Wikia Help Blog/@comment-121.54.54.34-20110609235825/@comment-969093-20110610064539

Basically, for every weapon but the more stationary ones you'd have to circle around the Rajang in a clockwise fashion. Hence the sticking to his right. The only real move you'd want to be careful with however is his 360 roundhouse punch which actually goes clockwise too. He gives ample warning (which is about 0.5 seconds) before performing it.

A gunner tactic would probably be best for you. I, an expert on Rajangs, even prefers guns/bows. For bows any rapid-focused one will do as long as it either got high raw or decent raw + ice element. With bowguns you can pretty much use everything as long as it can shoot Freeze S and Normal/Pellet S.