I didn't LIKE trig but it's certainly useful. I really wish I'd just memorized all the identities back in high school (/taken IB HL maths instead of goddamned maths studies) so I wouldn't have to stop and look them up every 5 seconds.
Anyway, it's ubiquitous. Same as algebra, it's just a fundamental thing that comes up constantly, you don't really think of it as "trigonometry" as a separate subject or thing, it's just part of solving various problems. Plus most of the time it makes things easier to solve anyway if they're based off periodic functions and stuff, or to represent complex things in the trig form (forget what it's actually called).
That said, how much of it is triangles vs periodic functions varies. Generally it's not so much the geometric stuff as it is the functions that crop up constantly (although sometimes the former does show up depending on the problems).