mikeion/dissertation_data_with_split · Data Studio

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1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:00:14	yes			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:02:04	$b=\sin \left( x\right) \wedge c=2\cos \left( x\right) \Longrightarrow b=c\Longrightarrow \sin \left( x\right) \times \sin \left( x\right) =\sin^{2} \left( x\right)$			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:02:28	AuHasard	https://cdn.discordapp.c…827648045137.png	933153827648045137.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:03:13	So $\sin \left(2x\right) =\sin^{2} \left( x\right)$			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:03:19	omg			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:03:30	clearly not?			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:03:32	let me check			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:03:42	no sin(2x)			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:03:53	AuHasard	https://cdn.discordapp.c…827648045137.png	933153827648045137.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:04:18	okay so which one of these are our answer	https://cdn.discordapp.c…022-03-28_kl.png	Skarmavbild_2022-03-28_kl.png	1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:04:26	you're nowhere near done			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:04:37	you need to know what sin(x)= now			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:04:47	lol			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:04:57	what lol?			0	1	933,153,827,648,045,200	AuHasard	4068	AuHasard	false
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:05:19	too many steps			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:05:52	what do you suggest			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:06:00	:sully:			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:06:09	Pythagorean identity...			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:06:17	+			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:06:39	$\tan^2(x)+1=\sec^2(x)$			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:06:41	Mosh	https://cdn.discordapp.c…587366215691.png	186109587366215691.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:06:47	$\sin \left( 2x\right) =1-\cos^{2} \left( x\right)$			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:06:56	no			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:07:21	well, yes cause finding cos^2(x) is much easier			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:07:40	i've not worked with sec yet, only tan cos and sin			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:07:51	so should i post the last equation?			1	0	510,789,298,321,096,700	TeXit	0796	TeXit	true
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:07:56	sure			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:08:06	$\sin \left( 2x\right) =1-\cos^{2} \left( x\right)$			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:08:09	AuHasard	https://cdn.discordapp.c…827648045137.png	933153827648045137.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:08:18	hmm.			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:08:33		https://cdn.discordapp.c…827648045137.png	933153827648045137.png	1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:08:38	so i use that			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:08:58	$\sin^{2} \left( x\right) +\cos^{2} \left( x\right) =1$			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:09:00	AuHasard	https://cdn.discordapp.c…827648045137.png	933153827648045137.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:09:04	and solve for x?			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:09:41	Rule of Thumb: You never need to find x explicitly in these problems.			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:10:06	for reference, this is also wrong			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:10:19	they wanted to know what sin(2x) was, so true, not x per se			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:10:34	maybe i should've left it like this	https://cdn.discordapp.c…827648045137.png	933153827648045137.png	1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:10:35	and cause finding x explicitly is just a shit method :catshrug:			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:11:22	$\sin^2(x)+\cos^2(x)=1\overset{\sin(x)=2\cos(x)}{\implies}4\cos^2(x)+\cos^2(x)=1$			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:11:43	Mosh	https://cdn.discordapp.c…587366215691.png	186109587366215691.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:11:55	didnt sqrt properly.			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:12:25	no			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:12:31	I mean you just didnt square root properly			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:12:49	$x^2=a\implies x=\pm\sqrt{a}$.			0	1	186,109,587,366,215,680	Omegabet_	9771	Omegabet_	false
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:12:51	Mosh	https://cdn.discordapp.c…587366215691.png	186109587366215691.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:13:09	k.			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:13:45	$$5\cos^{2} \left( x\right) =1$$ $$\cos^{2} \left( x\right) =\frac{1}{5}$$			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:13:49	AuHasard	https://cdn.discordapp.c…827648045137.png	933153827648045137.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:13:54	yes.			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:14:05	aaaand we are still not done			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:14:12	its one more step...			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:14:39	hold on			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:15:54	$$1-\sin^{2} \left( x\right) =\frac{1}{5}$$ $$1-\frac{1}{5} =\sin^{2} \left( x\right)$$ $$\sin \left( 2x\right) =\sin^{2} \left( x\right)$$ $$\sin \left( 2x\right) =\frac{4}{5}$$			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:16:17	sure			0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	186,109,587,366,215,680	Omegabet_	03/28/2022 09:16:36	though you had 1-cos^2(x)=1-1/5 available to you, but I guess we can't avoid pointless symbol pushing			0	1	244,755,340,653,101,060	axis	9334	all lines are flat	false
1,538	help-10	7955627e484a42c59b538f4e13a5d848	510,789,298,321,096,700	TeXit	03/28/2022 09:16:38	AuHasard	https://cdn.discordapp.c…827648045137.png	933153827648045137.png	0	1	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:16:45	lol			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:16:52	it helps if i write it all down			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:16:57	memorization i guess			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:17:08	thanks for the help			1	0	null	null	null	null	null
1,538	help-10	7955627e484a42c59b538f4e13a5d848	933,153,827,648,045,200	AuHasard	03/28/2022 09:17:34	.close			1	0	244,755,340,653,101,060	axis	9334	all lines are flat	false
1,539	help-10	ec699cfe0bfb4df1b6709f1b97c5cc85	753,507,057,759,551,500	lpl	03/28/2022 09:23:23		https://cdn.discordapp.c…20328_173951.jpg	IMG_20220328_173951.jpg	1	0	null	null	null	null	null
1,539	help-10	ec699cfe0bfb4df1b6709f1b97c5cc85	753,507,057,759,551,500	lpl	03/28/2022 09:23:27	Pls help me with this problem			1	0	null	null	null	null	null
1,539	help-10	ec699cfe0bfb4df1b6709f1b97c5cc85	753,507,057,759,551,500	lpl	03/28/2022 09:23:43	I am in 9tg grade and I can't do this			1	0	null	null	null	null	null
1,539	help-10	ec699cfe0bfb4df1b6709f1b97c5cc85	753,507,057,759,551,500	lpl	03/28/2022 09:25:29		https://cdn.discordapp.c…20328_191015.jpg	IMG_20220328_191015.jpg	1	0	null	null	null	null	null
1,539	help-10	ec699cfe0bfb4df1b6709f1b97c5cc85	753,507,057,759,551,500	lpl	03/28/2022 09:25:29		https://cdn.discordapp.c…20328_191018.jpg	IMG_20220328_191018.jpg	1	0	null	null	null	null	null
1,539	help-10	ec699cfe0bfb4df1b6709f1b97c5cc85	753,507,057,759,551,500	lpl	03/28/2022 09:45:26	@Helpers			1	0	null	null	null	null	null
1,539	help-10	ec699cfe0bfb4df1b6709f1b97c5cc85	753,507,057,759,551,500	lpl	03/28/2022 10:02:47	@Helpers			1	0	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	254,344,849,325,686,800	0hleg	03/28/2022 11:33:02		https://cdn.discordapp.c…014/IMG_1859.png	IMG_1859.png	1	0	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	254,344,849,325,686,800	0hleg	03/28/2022 11:33:11	Can someone explain this to me			1	0	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	334,482,942,506,041,340	Zybikron	03/28/2022 11:38:26	You pick a door. There's a 1/3 chance you're correct and a 2/3 chance you're wrong. That doesn't change by showing you a door with a nothing behind it, you knew one of the other doors had nothing behind it. All this does is show you which door to switch to if you choose to switch.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	761,155,030,513,352,700	Bungo	03/28/2022 11:41:07	It's called a "paradox" because many people intuitively don't think it could possibly make a difference whether you switch doors or not, after all, aren't they all equally likely to have the prize? To help with the intuition regarding why it could make a difference, suppose that instead of 3 doors there are one million...			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:41:19	@0hleg On that, you don't know whether to switch or not. They could have chosen to reveal a door only when you're right, and then switching never works.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:41:38	The proper statement is that the host always reveals a door with nothing behind it.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:42:39	Just seeing the host reveal a door once doesn't tell you the host's strategy.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:43:11	If they always reveal a door with nothing behind it regardless of what you picked, then you have a 2/3 chance of winning by switching.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	254,344,849,325,686,800	0hleg	03/28/2022 11:44:23	I don’t understand still. If you chose one out of the 2 doors that are not revealed. Why is it favorable to switch? When the third one was revealed empty?			1	0	186,109,587,366,215,680	Omegabet_	9771	Omegabet_	false
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:44:41	Because you have a 1/3 chance of getting it the first time and a 2/3 chance of not getting it.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	761,155,030,513,352,700	Bungo	03/28/2022 11:46:02	yes, you know there is 2/3 probability that it's behind one of the doors you did not choose. the host is helping you by ruling out one of those unchosen doors, so now you know that the other unchosen door has 2/3 probability to have the prize			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:46:08	If you switch, you lose 1/3 of the time (when your first guess was right) and win 2/3 of the time (when you didn't pick right first time).			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:47:19	There is 1 way to pick correctly on your first guess and 2 ways to pick wrongly. 1 way will make switching fail and 2 ways will make switching work.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:47:39	That's why it's 2/3 chance of winning if the host always reveals a door.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	254,344,849,325,686,800	0hleg	03/28/2022 11:47:52	Now I understand thank you			1	0	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	537,482,727,557,955,600	Chai T. Rex	03/28/2022 11:47:56	No problem.			0	1	null	null	null	null	null
1,540	help-10	3666cf3874d24783964b0593b2ee9b34	254,344,849,325,686,800	0hleg	03/28/2022 11:48:24	.close			1	0	null	null	null	null	null
1,541	help-10	cb4848e923284510999ef99cec7657d0	598,296,973,342,146,600	Sirius9121	03/28/2022 11:53:31	How can I determine its conv/div ergence?	https://cdn.discordapp.c…6350/unknown.png	unknown.png	1	0	null	null	null	null	null
1,541	help-10	cb4848e923284510999ef99cec7657d0	598,296,973,342,146,600	Sirius9121	03/28/2022 11:53:33	By which test?			1	0	null	null	null	null	null
1,541	help-10	cb4848e923284510999ef99cec7657d0	392,341,051,794,391,040	Navix	03/28/2022 11:55:25	Integral test may work			0	1	null	null	null	null	null
1,541	help-10	cb4848e923284510999ef99cec7657d0	392,341,051,794,391,040	Navix	03/28/2022 11:56:26	$k^2 e^{-k^2} \leq k^2 e^{-k}$ for $k \geq 1$			0	1	null	null	null	null	null
1,541	help-10	cb4848e923284510999ef99cec7657d0	510,789,298,321,096,700	TeXit	03/28/2022 11:56:45	Navix	https://cdn.discordapp.c…051794391040.png	392341051794391040.png	0	1	null	null	null	null	null
1,541	help-10	cb4848e923284510999ef99cec7657d0	598,296,973,342,146,600	Sirius9121	03/28/2022 11:56:50	ah tq			1	0	null	null	null	null	null
1,541	help-10	cb4848e923284510999ef99cec7657d0	598,296,973,342,146,600	Sirius9121	03/28/2022 11:56:53	.close			1	0	null	null	null	null	null
1,542	help-10	5cd8829e5d9643009742ddb2b9253fd6	955,252,436,854,005,900	gmoraes	03/28/2022 12:13:03	.reopen			1	0	254,344,849,325,686,800	0hleg	3605	0hleg	false
1,542	help-10	5cd8829e5d9643009742ddb2b9253fd6	711,720,510,202,839,200	Zoro	03/28/2022 12:16:46	$cos^4(at)$			0	1	null	null	null	null	null
1,542	help-10	5cd8829e5d9643009742ddb2b9253fd6	510,789,298,321,096,700	TeXit	03/28/2022 12:16:49	Zoro	https://cdn.discordapp.c…510202839142.png	711720510202839142.png	0	1	null	null	null	null	null
1,542	help-10	5cd8829e5d9643009742ddb2b9253fd6	711,720,510,202,839,200	Zoro	03/28/2022 12:16:57	can someone help me expand this?			0	1	null	null	null	null	null
1,542	help-10	5cd8829e5d9643009742ddb2b9253fd6	711,720,510,202,839,200	Zoro	03/28/2022 12:17:22	the answer i get using two power reduction methods is not the same as what my prof got			0	1	null	null	null	null	null
1,542	help-10	5cd8829e5d9643009742ddb2b9253fd6	711,720,510,202,839,200	Zoro	03/28/2022 12:17:37	and ive been at it for a while and i still keep getting the same answer i got			0	1	null	null	null	null	null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:00:14

yes

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:02:04

$b=\sin \left( x\right) \wedge c=2\cos \left( x\right) \Longrightarrow b=c\Longrightarrow \sin \left( x\right) \times \sin \left( x\right) =\sin^{2} \left( x\right)$

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:02:28

**AuHasard**

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:03:13

So $\sin \left(2x\right) =\sin^{2} \left( x\right)$

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:03:19

omg

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:03:30

clearly not?

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:03:32

let me check

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:03:42

no sin(2x)

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:03:53

**AuHasard**

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:04:18

okay so which one of these are our answer

https://cdn.discordapp.c…022-03-28_kl.png

Skarmavbild_2022-03-28_kl.png

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:04:26

you're nowhere near done

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:04:37

you need to know what sin(x)= now

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:04:47

lol

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:04:57

what lol?

0

1

933,153,827,648,045,200

AuHasard

4068

AuHasard

false

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:05:19

too many steps

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:05:52

what do you suggest

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:06:00

:sully:

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:06:09

Pythagorean identity...

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:06:17

+

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:06:39

$\tan^2(x)+1=\sec^2(x)$

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:06:41

**Mosh**

https://cdn.discordapp.c…587366215691.png

186109587366215691.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:06:47

$\sin \left( 2x\right) =1-\cos^{2} \left( x\right)$

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:06:56

no

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:07:21

well, yes cause finding cos^2(x) is much easier

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:07:40

i've not worked with sec yet, only tan cos and sin

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:07:51

so should i post the last equation?

1

0

510,789,298,321,096,700

TeXit

0796

TeXit

true

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:07:56

sure

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:08:06

$\sin \left( 2x\right) =1-\cos^{2} \left( x\right)$

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:08:09

**AuHasard**

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:08:18

hmm.

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:08:33

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:08:38

so i use that

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:08:58

$\sin^{2} \left( x\right) +\cos^{2} \left( x\right) =1$

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:09:00

**AuHasard**

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:09:04

and solve for x?

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:09:41

Rule of Thumb: You never need to find x explicitly in these problems.

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:10:06

for reference, this is also wrong

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:10:19

they wanted to know what sin(2x) was, so true, not x per se

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:10:34

maybe i should've left it like this

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:10:35

and cause finding x explicitly is just a shit method :catshrug:

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:11:22

$\sin^2(x)+\cos^2(x)=1\overset{\sin(x)=2\cos(x)}{\implies}4\cos^2(x)+\cos^2(x)=1$

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:11:43

**Mosh**

https://cdn.discordapp.c…587366215691.png

186109587366215691.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:11:55

didnt sqrt properly.

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:12:25

no

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:12:31

I mean you just didnt square root properly

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:12:49

$x^2=a\implies x=\pm\sqrt{a}$.

0

1

186,109,587,366,215,680

Omegabet_

9771

Omegabet_

false

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:12:51

**Mosh**

https://cdn.discordapp.c…587366215691.png

186109587366215691.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:13:09

k.

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:13:45

$$5\cos^{2} \left( x\right) =1$$ $$\cos^{2} \left( x\right) =\frac{1}{5}$$

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:13:49

**AuHasard**

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:13:54

yes.

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:14:05

aaaand we are still not done

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:14:12

its one more step...

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:14:39

hold on

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:15:54

$$1-\sin^{2} \left( x\right) =\frac{1}{5}$$ $$1-\frac{1}{5} =\sin^{2} \left( x\right)$$ $$\sin \left( 2x\right) =\sin^{2} \left( x\right)$$ $$\sin \left( 2x\right) =\frac{4}{5}$$

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:16:17

sure

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

186,109,587,366,215,680

Omegabet_

03/28/2022 09:16:36

though you had 1-cos^2(x)=1-1/5 available to you, but I guess we can't avoid pointless symbol pushing

0

1

244,755,340,653,101,060

axis

9334

all lines are flat

false

1,538

help-10

7955627e484a42c59b538f4e13a5d848

510,789,298,321,096,700

TeXit

03/28/2022 09:16:38

**AuHasard**

https://cdn.discordapp.c…827648045137.png

933153827648045137.png

0

1

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:16:45

lol

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:16:52

it helps if i write it all down

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:16:57

memorization i guess

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:17:08

thanks for the help

1

0

null

1,538

help-10

7955627e484a42c59b538f4e13a5d848

933,153,827,648,045,200

AuHasard

03/28/2022 09:17:34

.close

1

0

244,755,340,653,101,060

axis

9334

all lines are flat

false

1,539

help-10

ec699cfe0bfb4df1b6709f1b97c5cc85

753,507,057,759,551,500

lpl

03/28/2022 09:23:23

https://cdn.discordapp.c…20328_173951.jpg

IMG_20220328_173951.jpg

1

0

null

1,539

help-10

ec699cfe0bfb4df1b6709f1b97c5cc85

753,507,057,759,551,500

lpl

03/28/2022 09:23:27

Pls help me with this problem

1

0

null

1,539

help-10

ec699cfe0bfb4df1b6709f1b97c5cc85

753,507,057,759,551,500

lpl

03/28/2022 09:23:43

I am in 9tg grade and I can't do this

1

0

null

1,539

help-10

ec699cfe0bfb4df1b6709f1b97c5cc85

753,507,057,759,551,500

lpl

03/28/2022 09:25:29

https://cdn.discordapp.c…20328_191015.jpg

IMG_20220328_191015.jpg

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ec699cfe0bfb4df1b6709f1b97c5cc85

753,507,057,759,551,500

lpl

03/28/2022 09:25:29

https://cdn.discordapp.c…20328_191018.jpg

IMG_20220328_191018.jpg

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ec699cfe0bfb4df1b6709f1b97c5cc85

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lpl

03/28/2022 09:45:26

@Helpers

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ec699cfe0bfb4df1b6709f1b97c5cc85

753,507,057,759,551,500

lpl

03/28/2022 10:02:47

@Helpers

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3666cf3874d24783964b0593b2ee9b34

254,344,849,325,686,800

0hleg

03/28/2022 11:33:02

https://cdn.discordapp.c…014/IMG_1859.png

IMG_1859.png

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3666cf3874d24783964b0593b2ee9b34

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0hleg

03/28/2022 11:33:11

Can someone explain this to me

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334,482,942,506,041,340

Zybikron

03/28/2022 11:38:26

You pick a door. There's a 1/3 chance you're correct and a 2/3 chance you're wrong. That doesn't change by showing you a door with a nothing behind it, you knew one of the other doors had nothing behind it. All this does is show you which door to switch to if you choose to switch.

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help-10

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761,155,030,513,352,700

Bungo

03/28/2022 11:41:07

It's called a "paradox" because many people intuitively don't think it could possibly make a difference whether you switch doors or not, after all, aren't they all equally likely to have the prize? To help with the intuition regarding why it could make a difference, suppose that instead of 3 doors there are one million...

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help-10

3666cf3874d24783964b0593b2ee9b34

537,482,727,557,955,600

Chai T. Rex

03/28/2022 11:41:19

@0hleg On that, you don't know whether to switch or not. They could have chosen to reveal a door only when you're right, and then switching never works.

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help-10

3666cf3874d24783964b0593b2ee9b34

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Chai T. Rex

03/28/2022 11:41:38

The proper statement is that the host **always** reveals a door with nothing behind it.

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help-10

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Chai T. Rex

03/28/2022 11:42:39

Just seeing the host reveal a door once doesn't tell you the host's strategy.

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1

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help-10

3666cf3874d24783964b0593b2ee9b34

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Chai T. Rex

03/28/2022 11:43:11

If they always reveal a door with nothing behind it regardless of what you picked, then you have a 2/3 chance of winning by switching.

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help-10

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0hleg

03/28/2022 11:44:23

I don’t understand still. If you chose one out of the 2 doors that are not revealed. Why is it favorable to switch? When the third one was revealed empty?

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Omegabet_

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false

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537,482,727,557,955,600

Chai T. Rex

03/28/2022 11:44:41

Because you have a 1/3 chance of getting it the first time and a 2/3 chance of not getting it.

0

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help-10

3666cf3874d24783964b0593b2ee9b34

761,155,030,513,352,700

Bungo

03/28/2022 11:46:02

yes, you know there is 2/3 probability that it's behind one of the doors you did *not* choose. the host is helping you by ruling out one of those unchosen doors, so now you know that the other unchosen door has 2/3 probability to have the prize

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help-10

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537,482,727,557,955,600

Chai T. Rex

03/28/2022 11:46:08

If you switch, you lose 1/3 of the time (when your first guess was right) and win 2/3 of the time (when you didn't pick right first time).

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1

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help-10

3666cf3874d24783964b0593b2ee9b34

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Chai T. Rex

03/28/2022 11:47:19

There is 1 way to pick correctly on your first guess and 2 ways to pick wrongly. 1 way will make switching fail and 2 ways will make switching work.

0

1

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help-10

3666cf3874d24783964b0593b2ee9b34

537,482,727,557,955,600

Chai T. Rex

03/28/2022 11:47:39

That's why it's 2/3 chance of winning if the host **always** reveals a door.

0

1

null

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help-10

3666cf3874d24783964b0593b2ee9b34

254,344,849,325,686,800

0hleg

03/28/2022 11:47:52

Now I understand thank you

1

0

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help-10

3666cf3874d24783964b0593b2ee9b34

537,482,727,557,955,600

Chai T. Rex

03/28/2022 11:47:56

No problem.

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help-10

3666cf3874d24783964b0593b2ee9b34

254,344,849,325,686,800

0hleg

03/28/2022 11:48:24

.close

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help-10

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598,296,973,342,146,600

Sirius9121

03/28/2022 11:53:31

How can I determine its conv/div ergence?

https://cdn.discordapp.c…6350/unknown.png

unknown.png

1

0

null

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help-10

cb4848e923284510999ef99cec7657d0

598,296,973,342,146,600

Sirius9121

03/28/2022 11:53:33

By which test?

1

0

null

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help-10

cb4848e923284510999ef99cec7657d0

392,341,051,794,391,040

Navix

03/28/2022 11:55:25

Integral test may work

0

1

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help-10

cb4848e923284510999ef99cec7657d0

392,341,051,794,391,040

Navix

03/28/2022 11:56:26

$k^2 e^{-k^2} \leq k^2 e^{-k}$ for $k \geq 1$

0

1

null

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help-10

cb4848e923284510999ef99cec7657d0

510,789,298,321,096,700

TeXit

03/28/2022 11:56:45

**Navix**

https://cdn.discordapp.c…051794391040.png

392341051794391040.png

0

1

null

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help-10

cb4848e923284510999ef99cec7657d0

598,296,973,342,146,600

Sirius9121

03/28/2022 11:56:50

ah tq

1

0

null

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help-10

cb4848e923284510999ef99cec7657d0

598,296,973,342,146,600

Sirius9121

03/28/2022 11:56:53

.close

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help-10

5cd8829e5d9643009742ddb2b9253fd6

955,252,436,854,005,900

gmoraes

03/28/2022 12:13:03

.reopen

1

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0hleg

3605

0hleg

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help-10

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711,720,510,202,839,200

Zoro

03/28/2022 12:16:46

$cos^4(at)$

0

1

null

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help-10

5cd8829e5d9643009742ddb2b9253fd6

510,789,298,321,096,700

TeXit

03/28/2022 12:16:49

**Zoro**

https://cdn.discordapp.c…510202839142.png

711720510202839142.png

0

1

null

1,542

help-10

5cd8829e5d9643009742ddb2b9253fd6

711,720,510,202,839,200

Zoro

03/28/2022 12:16:57

can someone help me expand this?

0

1

null

1,542

help-10

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711,720,510,202,839,200

Zoro

03/28/2022 12:17:22

the answer i get using two power reduction methods is not the same as what my prof got

0

1

null

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help-10

5cd8829e5d9643009742ddb2b9253fd6

711,720,510,202,839,200

Zoro

03/28/2022 12:17:37

and ive been at it for a while and i still keep getting the same answer i got

0

1

null