/sci/ - Science & Math » Thread #14079270

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b in terms of a

Anonymous Sun 09 Jan 19:08:54 2022 No.14079270 View Reply Original Report

Quoted By: >>14079275

Is there some neat formula for finding side length b in terms of a

inb4 >/b/=/a/+blacked threads

Anonymous

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Anonymous Sun 09 Jan 2022 19:09:44 No.14079275 Report

Quoted By:

>>14079270
forgot to mention bottom length for both is 1

Anonymous

Anonymous Sun 09 Jan 2022 19:23:02 No.14079318 Report

Quoted By: >>14079325

Anonymous

Anonymous Sun 09 Jan 2022 19:25:29 No.14079325 Report

Quoted By:

>>14079318
feck

Anonymous

Anonymous Sun 09 Jan 2022 19:26:02 No.14079326 Report

Quoted By: >>14079439

Yes, there is.
It appears a = cotangent(theta), and b = cotangent(2*theta), so you just need the formula for one in terms of the other.
Try searching for "cotangent addition formula".

Anonymous

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Anonymous Sun 09 Jan 2022 19:42:40 No.14079400 Report

Quoted By: >>14079496

$a=1/\tan\theta\ ,\ b=1/\tan2\theta\\ \ \\ b=\frac{1-\tan^2\theta}{2\tan\theta}=\frac{1-(1/a)^2}{2(1/a)}=\frac{a^2-1}{2a}$

Anonymous

Anonymous Sun 09 Jan 2022 19:51:17 No.14079439 Report

Quoted By: >>14079475

>>14079326
thanks man
I got my thing working
I was trying to graph the reflection off of a parabola in desmos

Anonymous

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Anonymous Sun 09 Jan 2022 20:00:44 No.14079475 Report

Quoted By: >>14079482

>>14079439

Anonymous

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Anonymous Sun 09 Jan 2022 20:01:49 No.14079482 Report

Quoted By: >>14080096

>>14079475

Anonymous

Anonymous Sun 09 Jan 2022 20:05:08 No.14079496 Report

Quoted By:

>>14079400
shouldve used that last one lol, much shorter than cot(2coth(a)) or at least tidier

Anonymous

Anonymous Sun 09 Jan 2022 22:27:42 No.14080096 Report

Quoted By:

>>14079482
cringe

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