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You're right... and THAT is why I need to use those terms. LOL Thank you.
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Lol, I'm a math major (dual major with computer science) who works at a math help desk and tutors people in math. I'm paid to know that *****, and it'd probably be impossible for me to restrain from correcting someone LOL :P
Just remember that any standard angle (30, 45, 60, 90, etc.) will be some "nice" fraction of pi (pi/6, pi/4, pi/3, pi/2, corresponding to above). 1 rad, 2 rad, 4.5 rad, things like that, are all ugly angles with degree measurements that have many decimals behind them...
Good luck in your trig and calc endeavors, it's cool to go into it with a good physical understanding of stuff like engines. it make it all makes alot more sense.