The coolest thing about sin^{2} + cos^{2} = 1 is less that it's a super important trig identity, it's kinda the trig identity. I'm sure there's some more abstract and arbitrary definition but that's the one I would use to define the functions sin and cos.

That said I'm a dirty physicist and mathematicians always scoff at our proofs and definitions.

5.171 days ago

Sep 10, 2019 - 6:23 AM

Yeah, let me tell you, sin^{2} + cos^{2} =1 has saved my ass in a couple tests, because itâ€™s the easiest Pythagorean trig thingy to remember AND the basis for the other two Pythagorean things.

4.833 days ago

Sep 10, 2019 - 2:29 PM

Everything in math is always so weirdly interconnected. Sometimes I'll be working on a homework assignment and I'll literally mutter to myself "I swear to god, if this turns out to be the Fibonacci sequence or the golden ratio...". And it usually does.

4.637 days ago

Sep 10, 2019 - 7:12 PM

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General Discussion > Today I Learned <something scientific/historical/academic or just pretty cool>... [Not a Status-update Thread]

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