Cyclic breathing isn’t a terribly common technique in standard playing. Unless going for a specific effect, most brass (I was a trombone major too!) will play and breathe naturally when soloing.

And most composers will naturally write parts that don’t call for it.

It’s impressive when used sparingly, though! I once went to see Wynton Marsalis and his septet, a program almost exclusively traditional New Orleans jazz, with very little fireworks from Wynton. But after the curtain came down at the end of the concert, he stepped back through the curtain by himself and proceeded to blow a three or four minute unaccompanied bebop solo of uninterrupted sixteenths without a breath! Just pure bebop improvisation at breakneck speed without a pause for thought or oxygen!!!

I always felt that was the greatest demonstration of control I ever saw... to have that ability inside you, to have that amazing technique and speed and inventiveness, but to not use it for an entire concert until the encore! That’s self-discipline at its finest! How many of us can even go one song without using our best licks?!

Gods walk amongst us... 🎺