1 Corinthians 15:31
Every day I face death; I swear it by the pride in you [brothers] that I have in Christ Jesus our Lord.
Here Paul is declaring his pride in both individually and in community with the faithful that he faces death every day for the sake of Jesus Christ. Paul means this both literally (the danger of martyrdom) and symbolically, for death no longer has fear for those who follow the one who conquered death, Jesus Christ.
We have no way of knowing if Paul was actually thinking of this passage in Psalms when he wrote the above passage in Corinthians, but here you see that King David had a very similar thought and feeling. The footnote points the reader to Psalm 44:23.
Psalm 44:23
For you [God] we are slain all the day long, considered only as sheep to be slaughtered.
King David is here, as he always did, referring like Paul to both physical danger but also the symbolic role of the faithful as sheep to experience the slaughter for God at the ends of their lives, and also the day to day surrendering of their clinging to life. So while David wrote this psalm during a time of trouble, he did not mean that literally the faithful were being killed in battle or something all day. Like Paul or, rather, centuries before Paul, David articulated the embracing of constant exposure to the danger of death in the glory of trust in God.
So here, whether St. Paul was actually drawing upon his memory of this psalm in his writing or not, you can see the identical inspired mindset separated by centuries between David and Paul. This gives you a better understanding of the continuity of inspirational thought and the shared metaphor for both of these holy men's comprehension of the new definition of death for the faithful who trust in God, as David personally avows, and in Jesus Christ, as Paul avows and exhorts others.