Multiple OnTriggerEnter on One Collider

I have been having issues with implementing a couple of scripts that both require to use the OnTriggerEnter function on the same collider. These two OnTriggerEnter commands are both located in different scripts however when both are referring to same object either one or the other does not work. Is this even possible and / or is there a work around I could use in this situation?

Excerpt from Script One:

 function OnTriggerEnter (other: Collider){
     if(other.gameObject == playerObject && !hitCoolDown){
         playerState.playerHealth -= damageDone;
         hitCoolDown = true;
     }
 }

Excerpt from Script Two:

 function OnTriggerEnter (other : Collider){
     if(other.tag == "CollectPickaxe"){
         canPickupPickaxe = true;
     }
     if(other.tag == "CollectFlareGun"){
         canPickupFlareGun = true;
     }
     if(other.tag == "CollectRadMeter"){
         canPickupRadMeter = true;
     }
 }