Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]
Groups > comp.os.linux.advocacy > #704142
| Date | 2026-01-03 21:36 -0500 |
|---|---|
| Subject | Re: Any Math Heads Out There? |
| Newsgroups | comp.os.linux.advocacy, sci.physics |
| References | <pan$dcbe2$183521f7$63cceda3$1d68c149@linux.rocks> <10jchue$1mjsm$1@dont-email.me> <10jcik0$1mo8o$1@pothead.dont-email.me> |
| From | CrudeSausage <crude@sausa.ge> |
| Message-ID | <6959d23d$6$27$882e4bbb@reader.netnews.com> (permalink) |
Cross-posted to 2 groups.
On 2026-01-03 21:17, pothead wrote: > On 2026-01-04, Physfitfreak <physfitfreak@gmail.com> wrote: >> On 12/24/25 7:30 AM, Farley Flud wrote: >>> Any math heads out there? >>> >>> The following two expressions are equal. That is, substituting any value >>> of t in the expressions will produce the same value. >>> >>> Yet, I cannot reduce one to the other using algebra and the trig identities. >>> It must be possible but I can't find a way to do it. >>> >>> Can you? >>> >>> Eternal fame awaits the person who can solve this. >>> >>> >>> Expression 1: >>> >>> ⎛ _______________ ⎞ >>> ⎜ _ ╱ 2 ⎛ 4 2 ⎞ ⎟ >>> ⎜8 ⋅ ╲╱3 ⋅ cos(t) ⋅ ╲╱ 3 ⋅ cos(t) + 1 ⋅ sin(t) + ⎝27 ⋅ cos(t) + 18 ⋅ cos(t) + 3⎠ ⋅ sin(t)⎟ >>> ⎜───────────────────────────────────────────────────────────────────────────────────────────⎟ >>> ⎜ 4 2 ⎟ >>> ⎝ 36 ⋅ cos(t) + 24 ⋅ cos(t) + 4 ⎠ >>> >>> >>> Expression 2: >>> >>> ⎛ _______________ ⎞ >>> ⎜ ╱ 2 ⎛ 2 ⎞ _ ⎟ >>> ⎜╲╱ 3 ⋅ cos(t) + 1 ⋅ ⎝9 ⋅ cos(t) + 3⎠ ⋅ sin(t) + 8 ⋅ ╲╱3 ⋅ cos(t) ⋅ sin(t)⎟ >>> ⎜───────────────────────────────────────────────────────────────────────────⎟ >>> ⎜ _______________ ⎟ >>> ⎜ ╱ 2 ⎛ 2 ⎞ ⎟ >>> ⎝ ╲╱ 3 ⋅ cos(t) + 1 ⋅ ⎝12 ⋅ cos(t) + 4⎠ ⎠ >>> >>> >>> >>> >>> >>> >> >> >> They're equal. Place the two expressions on either sides of an equal >> sign. Factor out and get rid of sin(t). Then do the following substitution: >> >> a = square root of (3cost^2 +1) >> >> Both sides will quickly reduce to the same result in terms of a. > > Correct. > > Factor. > Simplify the fraction > Factor once more. > Simplify the fraction again. > > Both expressions are equal. > > Easy peasy. Man, how I wish I could still do math. -- CrudeSausage John 14:6 Pop_OS!
Back to comp.os.linux.advocacy | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread
Any Math Heads Out There? Farley Flud <ff@linux.rocks> - 2025-12-24 13:30 +0000
Re: Any Meth Heads Out There? "Doc Hammerslack" <dochammerslack@creon.earth> - 2025-12-24 16:39 +0000
Re: Any Meth Heads Out There? Farley Flud <fflud@gnu.rocks> - 2025-12-24 16:43 +0000
Re: Any Meth Heads Out There? "Doc Hammerslack" <dochammerslack@creon.earth> - 2025-12-24 16:52 +0000
Re: Any Meth Heads Out There? kouya <kouyaheika@canithesis.org> - 2025-12-24 21:49 -0600
Re: Any Meth Heads Out There? "Joel W. Crump" <joelcrump@gmail.com> - 2025-12-24 22:58 -0500
Re: Any Math Heads Out There? Farley Flud <ff@linux.rocks> - 2025-12-24 18:36 +0000
Re: Any Math Heads Out There? "Joel W. Crump" <joelcrump@gmail.com> - 2025-12-24 13:57 -0500
Re: Any Math Heads Out There? sobriquet <dohduhdah@yahoo.com> - 2025-12-24 21:32 +0100
Re: Any Math Heads Out There? sobriquet <dohduhdah@yahoo.com> - 2025-12-24 21:37 +0100
Re: Any Math Heads Out There? Farley Flud <ff@linux.rocks> - 2025-12-25 11:27 +0000
Re: Any Math Heads Out There? sobriquet <dohduhdah@yahoo.com> - 2025-12-25 14:25 +0100
Re: Any Math Heads Out There? Tyrone <none@none.none> - 2025-12-24 19:23 +0000
Re: Any Math Heads Out There? Farley Flud <fflud@gnu.rocks> - 2025-12-24 19:31 +0000
Re: Any Math Heads Out There? "Joel W. Crump" <joelcrump@gmail.com> - 2025-12-24 14:32 -0500
Re: Any Math Heads Out There? Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2025-12-28 04:27 +0100
Re: Any Math Heads Out There? Physfitfreak <physfitfreak@gmail.com> - 2026-01-03 20:06 -0600
Re: Any Math Heads Out There? pothead <pothead@snakebite.com> - 2026-01-04 02:17 +0000
Re: Any Math Heads Out There? CrudeSausage <crude@sausa.ge> - 2026-01-03 21:36 -0500
[OT] Netiquette (was: Any Math Heads Out There?) Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-04 15:04 +0100
Re: [OT] Netiquette "Joel W. Crump" <joelcrump@gmail.com> - 2026-01-04 13:58 -0500
Re: Any Math Heads Out There? Farley Flud <ff@linux.rocks> - 2026-01-04 11:20 +0000
Re: Any Math Heads Out There? Farley Flud <ff@linux.rocks> - 2026-01-04 11:31 +0000
Re: Any Math Heads Out There? Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-04 15:14 +0100
Re: Any Math Heads Out There? Physfitfreak <physfitfreak@gmail.com> - 2026-01-04 19:21 -0600
Re: Any Math Heads Out There? Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-05 18:09 +0100
Re: Any Math Heads Out There? Physfitfreak <physfitfreak@gmail.com> - 2026-01-06 20:08 -0600
Re: Any Math Heads Out There? John Hasler <john@sugarbit.com> - 2026-01-06 22:16 -0600
Re: Any Math Heads Out There? Physfitfreak <physfitfreak@gmail.com> - 2026-01-07 18:17 -0600
csiph-web