My hands shake randomly when i'm mad or nervous i can make it stop by moving my other hand or a finger is this normal and what's going on?

Anxiety: You may have anxiety / panic attacks relaxation exercises deep breathing and the use of anxiolytics or beta blockers will help you

Hands shake: You don't give your age or list any medications, but would suggest you see pcp for exam to rule out medical factors that may contribute to your hands shaking. Typically during panic attacks there are few outwardly visible physical symptoms. For eg, hyperventilating is common, but shaking hands (? a tremor) is not and deserves a closer look to assess. I hope this helps. Best wishes.