Trig identities....proving them was one of my least favorite math things....in fact any proofs. I figured if someone else proved them already just give me the facts to run with. Thank goodness that was 35 years ago. Come to think of it I've never had to prove math (except the kids, nephew, and niece's homework) since college.
Yeah trig identities are tough, having to go back to school after my BS in Computer Animation as the job want's me to get more formal training. So since I went to private school (credits do not xfer), had to go back to my public school AA to get started for the CE/CS double major I'm doing. My first degree only required up to College Algebra, after 12 years of not doing college level math decided to re-take College Algebra and then go Pre-calc seperately. Now I'm finishing up Trig, got Calc 1-3, physics for CS, and discrete mathematics left then I transfer from College to University. When I finish I'll have 3 friggin' Bachelors. I'm 31 almost 32 now, married, and we just purchased our own condo, guess I'll be finished with school sometime in my 40's, if I go Masters/PhD route, probably longer lolol.
Been in the Software industry 5 yrs now, started as an intern running cable and deploying development/test environments, did some documentation, made test plans, went QA, then did automation via PowerShell and Bash/Shell scripting, and now finally I'm a Software Engineer I working in C#, PowerShell, C++, and some C. The QA has actually helped a lot, doing QA for 2.5 years has really taught me some stuff to look for in Programming. Do I miss computer animation? Sure, but since all the jobs got outsourced, I didn't want to move after every project, not have benefits, and work 120+ hrs a week. Right now I work 50 at my day job, got school, and can manage a freelance wedding photography business.
Trig turns out to be the only maths i was taught that has had any practical use in daily life since i left education.
Algebraic long division i always considered to be a waste of time and still have no idea what use it is.
The benefit i see of a spring over a keystone holder is that it's easier to replace and affords some protection if you have a short.
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Yeah I'm finding Trig to be very useful for a lot of applications, we shall see how I fair in Calc, Pre-calc was a nightmare for me. Could have been because I had family members getting sick left and right or that I hadn't really done college level math for 12 years. Pre-Calc was super hard, luckily I got a B, but that B was probably more because I went to every single class, did every single extra credit, and I was always asking Professor for help and asking questions when he opened them up during lecture, probably should have gotten a C.