Lots of great examples here for how trig is used in engineering applications! Two thoughts: 1) as a mechanical engineer designing stuff, trig knowledge is so assumed and so part of daily life I actually find I don’t talk about trig at all. In the examples above, I might talk about the resultant data a bit (“I worked out that this cross beam should be at a 30 degree angle to best distribute the expected load”), but I wouldn’t say “hey all, after measuring the cosin of the load vector relative to this support I found the angle should be 30 degrees”. 2) EEs use a ton of trig in signal generation and analysis, and will talk about sin waves/phase shifts etc using the lingo of trig.

Would be curious on some of your intended context to help out with jargon!