Almost never unless you choice a profession that uses a lot of math.
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Trig leads directly to Calculus. Calculus leads to lots of different fields... fluid dynamics, electronics, etc..

I've been to the top of mathematics and back down again and, since school, have never used anything I learned in Calculus (except in other engineering classes). But, then again, there are other things I learned... like how to figure things out... and that I AM capable of doing complex math. I also learned how to take something complex and tedious and make it interesting.
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Honestly, if you aren't interesting in the sorts of things that require trig, then you're probably not going to use this type of math very extensively in your future career - assuming, of course, that you end up in a career field that really lets your natural talents, and your interests, shine in big ways. Same for hobbies - if you actually cared about this sort of thing, you'd either a) already know it, from having learned it outside of school in order to pursue your hobby, or b) be very, very interested in trig and, therefore, have few if any complaints about it.

Even so, it's good to take stupid classes that you don't actually have to have in order to be successful in the real world. I had to take science classes, for example, even though I'm working on an English major and creative-writing minor. I opted for astronomy, because my advisor suggested that this was going to be one of my best choices as a "non-science" person. Said advisor was right - the classes were easy. But I also learned some interesting things that I never would have given a rip about otherwise.

Basically, you take what you can from the boring or frustrating classes and move on. And who knows? You might end up finding a hobby or career that DOES require a little trig here and there. Then you'll be glad that you took the time to absorb the concepts in class.
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When are you ever going to use English (book analysis, with techniques etc) in real life?

Trig is really important for nagivation, builders, pilots, structural engineers and the list goes on.
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