conversation_id
int64
1
206k
help_channel
stringlengths
6
7
__rowid__
stringlengths
32
32
author_id
int64
62,061,868B
1,071,443,446B
author_name
stringlengths
2
32
timestamp
stringlengths
19
19
content
stringlengths
0
3.97k
reference.messageId
stringclasses
3 values
reference.channelId
stringclasses
3 values
reference.guildId
stringclasses
1 value
url
stringlengths
0
591
fileName
stringlengths
0
513
student
int64
0
1
helper
int64
0
1
references.id
float64
62,061,868B
1,071,056,124B
⌀
references.name
stringlengths
2
32
⌀
references.discriminator
stringlengths
4
4
⌀
references.nickname
stringlengths
1
32
⌀
references.isBot
bool
2 classes
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:42:04
this is true at all levels of matheatics.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:42:11
I'm just really confused and really stressing thats all
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:42:36
Ok so lets start again
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:42:45
What do we do with the sin3x at first
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:42:56
We apply the compound formulae to it?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:43:06
3x = 2x + x and "compound angle", yes
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:43:59
Correct?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:44:01
https://cdn.discordapp.c…37CEB518F060.jpg
DDAE4099-2EE1-434C-9ECF-37CEB518F060.jpg
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:44:16
I would suggest starting a separate calculation for that
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:44:20
Ok
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:44:22
sin(3x) = sin(2x + x) = ...
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:44:49
Sin2x + sinx?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:44:59
no
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:45:12
look here
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:45:37
The sin (a+b)?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:45:41
ye
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:45:48
A = 2x, B = x
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:46:25
So
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:46:48
= sin2x cos x + cos2x sin x?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:46:53
yeah
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:47:04
Oh ok thats the first line right?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:47:10
Thts only for sin 3x?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:47:15
yeah
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:47:26
Ok how do we do the next part
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:47:26
and we are not done yet because now there is sin(2x) and cos(2x)
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:47:40
we need to replace those too, we only want sin(x) and cos(x).
0
1
684,477,929,287,188,500
BessiBeni
4746
BessiBeni
false
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:48:19
We want to reduce the number of unknowns
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:48:37
and sin(x) and sin(2x) are like very different unknown numbers.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:48:56
So what do we get rid of?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:49:04
sin(2x)
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:49:18
Check your sheets if you find something.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:50:07
I don't rly know what I'm looking for
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:50:14
something with sin(2x)
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:50:58
Ok lemme see
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:51:27
Wait
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:51:35
I found sin2a =
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 17:51:36
What’s the question
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:51:43
In double angle fomulae
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:51:57
He is trying to solve sin(3x)/sin(x) - cos(3x)/cos(x) = 2
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:52:06
=2*
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:52:35
https://cdn.discordapp.c…609AB7B97B27.jpg
8089C42C-F27D-420E-9F66-609AB7B97B27.jpg
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:52:36
Could this come in any use?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:52:51
Hm I think there is something better
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 17:52:58
Have u tried using de moirés theorem to expand it
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:53:03
You are right that we can use this
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:53:13
Sin 2a = 2sin A cos A?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 17:53:15
In terms of powers and then divide
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:53:15
but tan is something new yet again.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:53:34
I doubt he has been introduced to complex numbers 😮
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:53:38
Nope
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:53:41
We havn't done that yet
1
0
797,077,265,472,290,800
MO
1883
MO
false
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:53:47
Its on our course but we havn't done it yet
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:54:07
But Omar is right in that complex numbers are really good for these kind of tasks.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:54:30
They also make it superflous to keep such tables in mind but that's not today's lesson. 🙂
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:54:58
So
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:55:02
Here i'll send a pic
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:55:05
ok
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:56:16
Right?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:56:19
https://cdn.discordapp.c…D969AFF13C17.jpg
E95B43C6-C552-44D6-B172-D969AFF13C17.jpg
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:56:50
let's ask Wolfy
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:56:58
,wolf simplify sin(3x)
0
1
797,077,265,472,290,800
MO
1883
MO
false
671
help-10
be96715990824165977df3c0edbd1a48
510,789,298,321,096,700
TeXit
02/13/2022 17:57:00
Results provided by WolframAlpha
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:57:16
Oh thats very complicated
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:57:17
hm looks different, did something go wrong?
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:57:29
Wolfy is making 3 suggestions
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:57:40
it's just 3 sin(x) cos²(x) - sin³(x)
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:58:11
le me see, maybe it's actually the same
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:58:20
Oh ok I just needed to join them together
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:58:46
I think it's different 😦
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:58:51
Okay let me try work it out per hand
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:58:59
Its awkward
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 17:59:30
sin(3x) = sin(x) cos(2x) + cos(x) sin(2x)
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 17:59:59
Is that it final or....
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:00:20
= sin(x) (cos²(x) - sin²(x)) + cos(x) 2 sin(x) cos(x)
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 18:00:23
Wait what year are you in
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:00:37
I'm from ireland which is my last year of highschool for america
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:01:01
I am a master student.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 18:01:12
I’m form the uk not sure how it works there
https://cdn.discordapp.c…1D99B55BCB09.jpg
BFA5A2DC-64E9-4B70-BB46-1D99B55BCB09.jpg
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:01:15
I'm impressed
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 18:01:24
Have a look at complex numbers it’s isn’t that difficult
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 18:01:32
Actually much easier way
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:01:51
Is there a way without using complex numbers?
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
797,077,265,472,290,800
MO
02/13/2022 18:01:55
Yes
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:01:56
I agree with Omar00 but I think the teacher will not be happy.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:01:59
Yes
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:02:03
Thats what I'm thinking
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:02:04
We are doing it atm
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:02:25
Also to fully explain complex numbers to you will take us some time.
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:02:52
Ye I'l lleave it up to the teCher
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:02:54
Teacher
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:03:06
Ok so back to where we were
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:03:38
Do you agree with this here?
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:04:17
Lemme see
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:04:25
Why is there a bracket
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:04:39
because we had
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:04:43
sin(x) cos(2x)
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
684,477,929,287,188,500
BessiBeni
02/13/2022 18:04:51
Oh I get it
1
0
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:04:53
which is the same as
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:05:16
sin(x) ((((cos(2x)))))
0
1
null
null
null
null
null
671
help-10
be96715990824165977df3c0edbd1a48
295,654,938,741,309,440
M8732
02/13/2022 18:05:27
then use cos(2x) = cos²(x) - sin²(x)
0
1
null
null
null
null
null