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/sci/ - Science & Math

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2968210 No.2968210 [Reply] [Original]

cos(( 180 - 10^-x )/ 2 ) * 360 * 10^x < pi < 0,5 / (tan(( 180 - 10^-x ) / 2 ) * 720 * 10^x)

The higher x is the more accurate you get pi.
What i want to know is this: is this even a valid formula or am i that stupid?

Yes i came up with the formula myself.
No you can't break records with this because it takes some serious cpu power.

>> No.2968238

bump

>> No.2968264

How do you calculate trig functions in degrees, without the ability to use pi? Or, if you can use pi, what's there to calculate?

>> No.2968275

>>2968210
I am in no position to help you on this.

I would be very interested in hearing how you came up with this, though. Did you just fuck around with a lot of numbers until you eventually got there, or did you have some sort of plan behind it? If you had a plan, could you please explain it? I'm not asking you to write a thesis on it, but the more accurate, the better for myself.

Cheers.

>> No.2968277

>>2968264
I'm not that famliar with trig functions.
Are they derived from pi?
If so i feel like a dumbass

>> No.2968282
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2968282

>mfw 180 in the argument of a trigonometric function

>> No.2968285

>>2968275
I didn't just guess if thats what you mean.
I did however forgot exactly how i came up with it :p

Was a year since i came up with it.

something with a triangle in a circle.

>> No.2968293

>>2968282
Fuck off troll

>> No.2968299

Trig functions are based off the unit circle. Pi is based on the ratios of a circle. It makes sense that you could use one to relate to the other. Trig functions are not directly derived from pi itself though.

You shouldn't need to have pi in order to find itself with trig functions (i.e. a more accurate representation to estimate a weaker one) and establishing that pi exists is pretty trivial just from looking at a circle and writing the definition.

>> No.2968300

>>2968293
Not trolling. Anybody who puts that shit in there hasn't gotten very far in their maths.

>> No.2968309

>>2968300
If you would actually read the whole formule you wouldn't feel like a retard.

>> No.2968341

>>2968309
Care to explain?

>> No.2968368

>>2968341
Not OP, if you can't understand what OP means you shouldn't be criticizing it.

>> No.2968378

OP your method is cumbersome! It's much easier to approximate pi using increasing iterations of newton's method for y=Sin x.

>> No.2968379

>>2968368
I know what the formula means. I don't see why the argument has to be in degrees.

>> No.2968398

>>2968379
because i'm not a fucking genius that can come up with shit that i didnt have at school yet.
I learned degrees and thats what i work with.
problem?
>>2968378
show me please

>> No.2968408

>>2968398
That's a perfectly valid reason. And yet

Accusation of trolling: >>2968293
Calling me a retard: >>2968309
Accuse me of not understanding:>>2968368

Jesus fucking Christ /sci/.

>> No.2968417

OP your formula works on the left side but not on the right

>> No.2968421

>>2968417
saved it in a notepad file a year ago, could have errors in them that i didnt change.
probably something with the 720 because i remember changing that

>> No.2968465

Dude your formula doesn't work, the left side doesn't approach any value, and the right side approaches zero.

>> No.2968478

>>2968465
Set it on degrees.

>> No.2968483

>>2968465
and try x not higher then 5-8 when trying it on a calculator or something similar.
It will round it to 180 and just give weird outcomes...