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Re:BetterExplained: Math Lessons That Explain Concepts by nickpsecurity on Tuesday December 22, 2015 @01:08PM (#10779256)
Paid you a great compliment in my main comment. This...

"a% of b = b% of a?"

Seems like a bit of a cheat as it's too obvious. I did 25% of a 100 to keep it simple as we use quarters and dollars a lot. Also can visualize it as a rectangle or stack of boxes that I take one chunk out of. Maybe use word "whole" or phrase "all of" for 100% to make 2nd part more obvious. I took a chunk out of all of that stack. All of this chunk equals the chunk I took. See? Too obvious. Stay on the harder shit like e, trig, etc.

"Trig functions (sine, cosine, tan, etc.) are actually themselves percentages. A sine of .95 means you are at 95% of your maximum height (where the max is the hypotenuse)."

Boom! Excellent example. I understood it almost entirely in equations back when I did it. Outside of some examples with trees and stuff we rarely got to sit on what the terms mean. So, let's see if I follow that.

So, a sine of 0.95 is like putting a protractor on a picture of a right triangle and marking a chunk of it that goes 95% to the top of that? If I did it visually, that is. Looking up the other two's definitions I found someone already did the visual thing I was attempting although not quite there yet in presentation (see pictures w/ angles):

http://www.mathsisfun.com/sine-cosine-tangent.html

SO, if we do it visually on those pics, does the percentage the sine represents start as a line coming from bottom-right to hypoteneuse? And where do the other two start? Or is my intuition screwing with me? ;)

Re:BetterExplained: Math Lessons That Explain Concepts by kalid on Tuesday December 22, 2015 @01:37PM (#10779441)
Just saw your earlier comment, thank you!

1) Yep, the regular percentage formula is pretty basic. Mostly, I like it because we've overlooked something that's been under our noses for years or decades. What else have we been missing?

2) For trig, check out:

http://betterexplained.com/static/articles/intuitive-trigono...

The traditional way of showing sine/cosine/tan (as on that page) leaves out the surrounding context where the percentage comes to life. Let me know if that link above clears thins up.

Re:BetterExplained: Math Lessons That Explain Concepts by ljk on Tuesday December 22, 2015 @02:05PM (#10779595)
the trig function trick is pretty neat! but i wonder if i only think that because i know trig already, and would've gotten more confused with more analogies
Re:BetterExplained: Math Lessons That Explain Concepts by kalid on Tuesday December 22, 2015 @05:03PM (#10780671)
Yeah, to be honest, I'm writing for someone who saw the textbook definition of trig but didn't have it click. I'm not sure how it would work as a sole treatment. (However, I suspect the vast majority of people reading the article are learning trig in school alongside an existing lesson, vs. randomly reading about it with no context. The people who google "trig" for fun having never heard of it... are strange beasts.)