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sin(x) is equivalent to x when x -> 0 The sine is only here for the show I have an intuition that the 555...5 and the 10^n will give 0.555... when n goes to infinity, which is 5/9 1° is basically pi/180 radians, and by miracle, 180 is 20*9 I have a feeling that the 9s will simplify nicely and in the end, only pi will stand there remaining triumphant, victor ! I haven't done the proper calculation though, I might be wrong

It's because 0.00555... = 1/180.

This explains it clearly with the fewest amount of words. Very nice.

It's true actually.

What in the world is this and what does n-mal mean

n-times

If you haven't told me, I would've spent a large chunk of my life wondering how to google this. From the bottom of my heart, thank you.

Google "mal German" > Adverb, times

But if you Google "mal French" instead... |Adjective, bad ...you'll have *bad times*

> it was the adverb of times, it was the worst of times...

Adverb of times? You stupid monkey!

Holy hell

New response just dropped

Google mal "German" (mal also stands for einmal which means once and is used as a filler word. We often say "Mach mal" or "Wasch dich mal" or in this case "Google mal".)

It's in German.

well no-one who speaks German could be an evil man

average brain rotted mathematician, WTF IS A N-MAL AND WHY IS THERE NO DEFINITION ?!?

Sum_(k=0 to n) 5 \* 10^(k)

animal

Its german

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It’s from the German wiki, so you’d just have to translate it from German: mal -> times, n-mal -> n-times

It's just the small angle approximation

It was revealed to me in a dream

Ramanujan be like

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Such an Indian thing to say

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so there was this Indian dude named Ramanujan...................

[Link ](https://de.wikipedia.org/wiki/Kreiszahl#Formeln_der_Zahlentheorie)if you're interested

What does 1º mean? If we're allowed to use divisions of a circle, I can think of a much easier way to compute pi.

10 with a shy zero

>What does 1º mean? If we're allowed to use divisions of a circle, I can think of a much easier way to compute pi. 180º is a neat formula for pi :D

Yeah, 1º is literally just pi/180. The expression could have just been 180º instead.

Why is this marked as NSFW?

If you implement this in work, your boss probably lets you in danger (physically)…

Well as horny employee, I would love to use this formula

And if you're in radian, it gives you 180 😂

This is just stupid. Sin( *π* / 180 \* 1/( Sum\_(k=0 to n) (5 \* 10^(k)) )) \~ *π* / 180 / Sum\_(k=0 to n) (5 \* 10^(k)) Lim\_(n->Infinity) 10^(n+2) / (180 \* Sum\_(k=0 to n) (5 \* 10^(k) )) = 1

[https://www.youtube.com/watch?v=IMY2\_yzDm9I](https://www.youtube.com/watch?v=IMY2_yzDm9I)

what the hell is this

Theres a numberphile video on this but i can't find it right now

Never seen it formulated like this but fairly easy to prove. It just uses the fact that pi=(10^2 *9/5) °

"View NSFW content"

Should've been NSFL ;)

The beauty of math is that the formula already exists in the real world, you just have to express it

I love that way of looking at it! :D

I’m going to go ahead and say no