Graphic designers use math because they have to measure out models to a certain scale. They need to know how to calculate exact measurements.
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No. I have worked as a Graphic Designer for over 20 years both in Europe an the USA and have never had to use trigonometry.
That depends on your profession. If you are a math teacher, then you might use a lot of Trig. If you are an engineer, working with forces on any object from different directions, then you would use trig. Electrical engineers use trig. Surveyors use trig.
Typically, delta means "change in" in math.
If you work in engineering, you'll need trigonometry, and other advanced math topics, all the time. Otherwise, you can come along quite well without it, and will seldom find any practical use for it.
Now a days, learning has become much easy. You can get help with concepts of math online. You can search for math help or geometry help online and get a learning from online. Try typing in "cool math 4 kids" in your search engine. That's a great website for stuff like that, but I can't think of their address right now.