/sci/ - Science & Math » Thread #13171034

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Anonymous Sat 22 May 11:07:12 2021 No.13171034 View Reply Original Report

Quoted By: >>13171284 >>13171433

How ?

Anonymous

Anonymous Sat 22 May 2021 13:09:11 No.13171284 Report

Quoted By: >>13171304

>>13171034
right hand side reduces to x

Anonymous

Anonymous Sat 22 May 2021 13:14:44 No.13171304 Report

Quoted By: >>13171319

>>13171284
No it doesn't. arccos(cosx) =/= x. Graph both sides.

Anonymous

Anonymous Sat 22 May 2021 13:20:20 No.13171319 Report

Quoted By: >>13171355 >>13171357

>>13171304
arccos is literally defined to be the inverse of cos my dude

Anonymous

Anonymous Sat 22 May 2021 13:30:46 No.13171355 Report

Quoted By:

>>13171319
but cos is not injective

Anonymous

Anonymous Sat 22 May 2021 13:31:17 No.13171357 Report

Quoted By: >>13171413

>>13171319
arccos(-0.5) = 2pi/3
arccos( cos(4pi/3) ) = 2pi/3.
4pi/3 =/= 2pi/3

cosine is not an invertible function in the domain of all real numbers, arccos isn't multivalued.
arccos(cos x) = x only when x belongs from 0 to pi.

Anonymous

Anonymous Sat 22 May 2021 13:44:33 No.13171413 Report

Quoted By: >>13171438

>>13171357
and that's why you can't use x = 4pi/3 so you've just disproved your own argument

Anonymous

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Anonymous Sat 22 May 2021 13:47:40 No.13171433 Report

Quoted By: >>13171443 >>13171449

>>13171034
yeah this don't seem right

Anonymous

Anonymous Sat 22 May 2021 13:49:40 No.13171438 Report

Quoted By:

>>13171413
Why can't x be 4pi/3 ? The equation given holds for all real numbers

Anonymous

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Anonymous Sat 22 May 2021 13:51:41 No.13171443 Report

Quoted By: >>13171474

>>13171433

Anonymous

Anonymous Sat 22 May 2021 13:53:25 No.13171449 Report

Quoted By: >>13171454

>>13171433
You're missing the absolute value brackets.

Anonymous

Anonymous Sat 22 May 2021 13:54:30 No.13171454 Report

Quoted By: >>13171461

>>13171449
>absolute values of constants

Anonymous

Anonymous Sat 22 May 2021 13:55:55 No.13171461 Report

Quoted By: >>13171474

>>13171454
https://en.wikipedia.org/wiki/Absolute_value

Anonymous

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Anonymous Sat 22 May 2021 13:59:12 No.13171474 Report

Quoted By:

>>13171443
>>13171461
|2| = 2, |-1| = 1, simplifies to

p-x-p floor(6x/11p)+p floor(x/22p)
= p - 3x/2 + O(1)

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