The bad bit is that for small enough x, x ≅ sin(x), which can lead you into temptation.
Similarly, the fact that 2^4 = 4^2 can create false-positive “simple test cases”.
“1 doesn’t count, 3 is prime, 5 is prime, 7 is prime, 9 is an experimental error, 11 is prime, 13 is prime, …. Good enough: all odd numbers are prime.”
I think it’s not a right triangle, so the sohcahtoa rule doesn’t work. There’s something else you have to multiply it by to make it work again when it’s not a right triangle, but I’ll have to look it up: https://en.wikipedia.org/wiki/Law_of_sines
so it should be:
sin theta / opp = sin the angle that looks like its right but it’s not / hypoteneuse = sin the other angle / adjacent
I think it’s because the “triangle definition” of sine does not extend to angles > pi/2. You never get negative values of sin if you define it as a ratio of (positive) lengths
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I think sin (3 Pi /2 ) = -1 i.e. it has an elegant solution, where sin (3/2) does not which is the joke.
The bad bit is that for small enough x, x ≅ sin(x), which can lead you into temptation.
Similarly, the fact that 2^4 = 4^2 can create false-positive “simple test cases”.
“1 doesn’t count, 3 is prime, 5 is prime, 7 is prime, 9 is an experimental error, 11 is prime, 13 is prime, …. Good enough: all odd numbers are prime.”
May someone pls explain to me the pride joke?
I think it’s not a right triangle, so the sohcahtoa rule doesn’t work. There’s something else you have to multiply it by to make it work again when it’s not a right triangle, but I’ll have to look it up: https://en.wikipedia.org/wiki/Law_of_sines
so it should be:
sin theta / opp = sin the angle that looks like its right but it’s not / hypoteneuse = sin the other angle / adjacent
Oh lol didn’t notice it wasn’t right triangle. Thanks!
I think it’s because the “triangle definition” of sine does not extend to angles > pi/2. You never get negative values of sin if you define it as a ratio of (positive) lengths
I think sin (3 Pi /2 ) = -1 i.e. it has an elegant solution, where sin (3/2) does not which is the joke.
Sin x / n = 6
Don’t forget the wrath of complex number advocates, who scream that sin(x) = 1.5 has PLENTY of solutions.
Real mathematicians hate Polar Bears. That’s why they heated up Mother Earth.
Do you sell posters of your work anywhere? Some of these would be fun to hang in my office. Especially “Why Not to Trust Statistics.”
https://vacancysquare.com/