you could memorize 6 versions of this lol
#help-26
long stirrup
long stirrup
it's called J
echo hfd <. %: */ 256#.inv 16bc76466 16be5a6ec
echo hfd <. -: +/ 256#.inv 16bc76466 16be5a6ec
echo hfd <. +: % +/ % 256#.inv 16bc76466 16be5a6ec
echo hfd XOR 256#.inv 16bc76466 16be5a6ec
echo hfd AND 256#.inv 16bc76466 16be5a6ec
echo hfd OR 256#.inv 16bc76466 16be5a6ec
mult add inverse
topaz sinewBOT
noble crest
.reopen
topaz sinewBOT
✅
noble crest
@long stirrupwait sorry, is there a way to
like could we declare a variable
like
StageOne = echo hfd <. %: */ 256#.inv 16bc76466 16be5a6ec echo hfd <. %: */ 256#.inv 16bStageOne 16be5a6ec
topaz sinewBOT
long stirrup
@noble crest oh wait you need commas in that case
long stirrup
like StageOne, 16be5a6ec
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terse seal
I'm trying to figure out the amount of unique algorithms you can make on a Rubik's Cube with any n moves The algorithms must be unique, meaning that if two algorithms result in the same computation, they are the same algorithm. Using a quater turn metric *
topaz sinewBOT
I'm trying to figure out the amount of unique algorithms you can make on a Rubik...
rigid ivy
I'm trying to figure out the amount of unique algorithms you can make on a Rubik...
Please stay in one channel, or at least close your old one. Anyway, your problem is very hard to solve.
Imagine you could easily know how many unique algorithms existed with QTM, then we would have found God's number a lot sooner
terse seal
The guy from the last channel left
rigid ivy
The guy from the last channel left
Yeah but it's your channel
rigid ivy
The only (known) way to find number of unique positions is by computationally searching.
inner wren
it'll take some time ig.
rigid ivy
Can I get rid of it as mine
I already closed it for you. In the future, do .close
rigid ivy
uk?
terse seal
U know
rigid ivy
I know that the answer is "not easy to find an answer"
but for 2x2 and 3x3, the number of unique positions has already been calculated
terse seal
But what about with only 3 moves
I'm asking the relationship between n (the moves) and how many computations
@rigid ivy
terse seal
Why 18 after 1 move?
rigid ivy
Why 18 after 1 move?
what?
terse seal
What defines distance
rigid ivy
What defines distance
Number of half-turn moves
rigid ivy
Why not 12 ht moves
half turn means you could do 3 twists on any one side
90, 180, or 270 degree rotation
terse seal
But 3r=r'
terse seal
90, 180, or 270 degree rotation
That's single turn metric
terse seal
Qtm and single turn metric are different
rigid ivy
what don't you get?
rigid ivy
Here, distance is number of half-turn moves
rigid ivy
Here's QTM
And here, distance is number of quarter-turn moves
terse seal
So how did they get those numbers
rigid ivy
So how did they get those numbers
computers
rigid ivy
So how did they get those numbers
terse seal
Humans can't do the math?
rigid ivy
Not currently, no.
terse seal
There isn't a pattern like the nth term?
rigid ivy
Nope
terse seal
rigid ivy
screenshot, please
terse seal
rigid ivy
terse seal
But I'm asking about how many permutations can be made with 3 moves
rigid ivy
Here's QTM
1,068
rigid ivy
what?
rigid ivy
Yeah there's no known simple algorithm for it
terse seal
That explains why I can't figure it out lol
rigid ivy
yes
rustic finch
lol wait that’s funny i’m in another server tom rockicki (one of the people who proved god’s number is 20) is in
rustic finch
https://www.cube20.org/
mentioned on this
rigid ivy
lol wait that’s funny i’m in another server tom rockicki (one of the people who ...
Ask him to share the three known positions that require 26 QTM moves
rustic finch
where is the result that there are 3 stated?
rigid ivy
Here's QTM
here
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bright dagger
How do I find the column space?
topaz sinewBOT
How do I find the column space?
bright dagger
topaz sinewBOT
@bright dagger Has your question been resolved?
crisp vapor
hi
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brittle atlas
https://gyazo.com/8bacfcec9c7af79d8da6fb13bdcedda4 Im struggling reading what quadrant this angle would be in my guess is quadrant 2 but could someone explain to me why?
topaz sinewBOT
https://gyazo.com/8bacfcec9c7af79d8da6fb13bdcedda4 Im struggling reading what qu...
blazing shoal
the angles increase counterclockwise
brittle atlas
oh i see thank you
blazing shoal
neon iron
please help me
topaz sinewBOT
please help me
vernal vale
show your work
topaz sinewBOT
@halcyon kite Has your question been resolved?
celest quest
what constraints on b1, b2, b3 wold make this system on equations on Z mod 7 have 0 solutions, 1 solutions, or more than 1 solution?
topaz sinewBOT
what constraints on b1, b2, b3 wold make this system on equations on Z mod 7 hav...
celest quest
so i row reduced the matrix
and got this
now we get 0 solutions if the bottom row if b's equals 0 mod 7
but what about 1 solution?
opal vault
you get 0 solutions if 5b1+b2+b3 is NOT 0 mod 7
because then the system is inconsistent
celest quest
oh yeah oops typo
opal vault
otherwise, b3 = 2b1 + 6b2, and the last row can be removed
celest quest
or mental typo rather
celest quest
otherwise, b3 = 2b1 + 6b2, and the last row can be removed
yeah
celest quest
yeah
opal vault
how many solutions does this system have?
celest quest
well i need to constraint the b's to have only 1 solution
opal vault
well i need to constraint the b's to have only 1 solution
is it even possible now?
opal vault
well that's what I was asking
celest quest
because its asking when would it have 1 solution
unless it expects me to write never
opal vault
never is an answer
opal vault
well think about it
we either have 0 solutions
or a system that simplifies to "x1 = exactly this, and x2 + x3 = exactly this"
opal vault
yeah so x2 = 6x3 + ...
celest quest
but i thought there might be some trick with mod 7
opal vault
x3 is left "undecided"
celest quest
that im missing
opal vault
doesn't change regarding the field
topaz sinewBOT
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Available help channel!
prisma grail
could this be sec y° = 8/t?
topaz sinewBOT
could this be sec y° = 8/t?
lean pebble
Yep
fossil matrix
topaz sinewBOT
fossil matrix
This is coming from a friend of mine. Im not quite sure what any of this is, but if somebody has questions or what not, feel free to ask lol
topaz sinewBOT
@fossil matrix Has your question been resolved?
neon iron
what does the "and tan" do to our problem
topaz sinewBOT
what does the "and tan" do to our problem
cinder sequoia
and specifically, if tan = sin/cos, and you know the sign of cosine and that tan is negative, it gives you useful information about the sign of sine
topaz sinewBOT
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rancid viper
why isnt it k=0 and k=4 instead of k<0 andk>4
topaz sinewBOT
why isnt it k=0 and k=4 instead of k<0 andk>4
kindred cloud
You want your discriminant to give you two distinct values. Think about what happens when you look at the whole quadratic formula and you substitute in b=k and c=k
rancid viper
im so sorry im not sure i understand
wouldnt we get the zeros if we substitute it in?
kindred cloud
Apologies for my bad handwriting, im on my phone atm
But notice the plus and minus sign just before the square root
rancid viper
yeah
kindred cloud
If you let a=1, b=k, and c=k, what happens inside the square root?
rancid viper
k^2 - 4k?
kindred cloud
Correct! We want this value to be greater than zero
The reason we want it to be greater than zero is because when you take the square root of it, then apply the plus and minus, you will get two different results and hence two different x-intercepts
So now you have to solve k^2 - 4k > 0
rancid viper
ohh just like what was in the image right
kindred cloud
Yep
rancid viper
but then shouldnt k be bigger than 0 and not smaller than 0?
kindred cloud
That’s a good question, let’s see what is happening in the image
So when you get to k(k-4) > 0, think about what happens if you let k < 0
rancid viper
there are no roots right
kindred cloud
Will the overall result be positive or negative?
rancid viper
ohhh i see so thats why we want k to be smaller than 0
kindred cloud
So when you get to k(k-4) > 0, think about what happens if you let k < 0
You have a negative times a negative here
Yep
rancid viper
kk tysm
kindred cloud
Ofc
rancid viper
hope you have a great day
kindred cloud
Ty, you too :D
rancid viper
.close
topaz sinewBOT
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Available help channel!
deft holly
hi I'm having trouble with 11a
topaz sinewBOT
hi I'm having trouble with 11a
deft holly
Where did the m come from?
raven sparrow
It would be better if they told you what m is, but it's clear from context that it's a nonzero constant.
It doesn't actually matter the value of m, any one will give a tangent line
deft holly
It would be better if they told you what m is, but it's clear from context that ...
How would I incorporate m into the question though? What set of values am I making m
raven sparrow
One thing you can do is express both as y = f(x) and show that their difference has a double root
This shows that the parabola "bounces" on the line in a single point
deft holly
this is my working out right now
If i wanted to show my last eq is a dbrt, what would I do? Ive only learnt showing a specific point is a dbrt so im unaware if theres any other way to show
raven sparrow
You have to show the discriminant is always 0
deft holly
You have to show the discriminant is always 0
Then i use xm as my term?
raven sparrow
a = m^2, b = -m , c = -16
raven sparrow
No worries !
topaz sinewBOT
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Available help channel!
vocal mauve
Hello , sorry to bother anyone i just need help solving some math problems
cinder stream
I can help! (im not very good at math)
cinder stream
Hello , sorry to bother anyone i just need help solving some math problems
just post them can i can help
vocal mauve
cinder stream
alrighty so
i think in this question you just wanna plug in your table and see if its true/or false
cinder stream
Yep! do you need help on how to?
vocal mauve
Yes please
cinder stream
I gotchu!
ok so looking at your table, you're just going to plug in where r is as 1, and s is a 9
cinder stream
Yes please
so in this case, for question A:
9=3(1)-12
3(1) basically means multiply 3 into 1
so 3-12 basically
3-12 would give us -9
which is not true
as 9 is not equal to -9
so we can do the same for the rest of the questions
you could also use somthing like slope to find out the equation(if you have learnt that)
slope = y2-y1/x2-x1
cinder stream
slope = y2-y1/x2-x1
if you want i can show you how to get your answer using that, as its probably faster to *use
vocal mauve
Yes please
cinder stream
Yes please
slope is basically how much a function increases each time
*its the change in y(in this case they've given us s) in respect to our x(r in this case)
vocal mauve
Oh Okay , I will try to solve this question , can I let you know if I think I figured it out or no ?
cinder stream
Oh Okay , I will try to solve this question , can I let you know if I think I fi...
Yeah sure! just before you go lemme show you what you need to plug in
vocal mauve
Okay
cinder stream
pardon my horrible handwritting lol
vocal mauve
Thats okay lol
cinder stream
so have you found what or slope(or M value would be?)
vocal mauve
Not exactly
cinder stream
anything i can help with?
vocal mauve
Im just completely lost in all of this , my brain isn’t clicking to solve this math problem sorry
cinder stream
Ok i gotchu
we'd get -3
slope would give us -3
which leaves C, or D
its basically finding the equation of the line, which is y=mx+b
m being our slope(-3)
and b being out y intercept(where this graph would meet the line)
vocal mauve
I think I get it a little more now
cinder stream
yeah
so basically you're going to want to do
0=-3(4)+b
and solve for b
this gets us our intercept
cinder stream
yep!
so now we can contruct our answer( and the equation of the line)
we have our b value
and our m value
so s=-3r+12
vocal mauve
So it would be d right ?
cinder stream
yep!
vocal mauve
Okay thank you so much for your help
drifting briar
which type of contour should i use to find the inverse laplace transform of the following function using mellin's formula?
topaz sinewBOT
which type of contour should i use to find the inverse laplace transform of the ...
drifting briar
$f\left(x\right)=\frac{1}{x^{2}+1}$
thorny flameBOT
Jill ♡
drifting briar
i chose x as my variable here
i know the solution is gonna be sin(t) but I dont know how to get there
i dont really understand how i can simplify this into something i can solve with the residue theorem
topaz sinewBOT
@drifting briar Has your question been resolved?
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bright plank
Hi
wooden moon
bright plank
lim x->a √x = √a, is that the same as lim x-> a √x = lim a->a √a
bright plank
i mean in my textbook it says lim x->a √x - √a = 0, i.e. lim x->a √x = √a but i dont get how those both are the same
dense crescent
ok so
while solving limits
if u dont see any indeterminate forms
u substitute the value of x which is tending
ie here lim x→a so u substitute x=a
do u have idea about indeterminant forms?
bright plank
not really no
dense crescent
ok
so indeterminant forms are something like
0/0
infinity/infinity
0 x infinity
0^infinity
1^infinity
infinity-infinity
and infinity^0
ever heard of these?
meager dawn
0^infinity
0^infty isn’t indeterminate (not to be a pedant about it)
bright plank
ill learn them for sure
but lim x->a √x = √a
i didnt understand this above very well
dense crescent
0^infty isn’t indeterminate (not to be a pedant about it)
oops mb 0^0
dense crescent
but lim x->a √x = √a
i didnt understand this above very well
ok so if u dont see any of the mentioned cases
u can substitute x=a here
in root(x) - root(a) u see no indeterminant form
and as lim x→a u do x=a
bright plank
so does that mean this is saying that lim x->a f(x) = f(a)
dense crescent
yes
quick holly
"Proof by deduction"
topaz sinewBOT
"Proof by deduction"
quick holly
whats the point of completing the square??
cedar wagon
Factor a quadratic
worthy storm
it makes it obvious that the polynomial can't be negative
because both (x+2)^2 and 1 are nonnegative
quick holly
what about the inequality?
worthy storm
"nonnegative" means >= 0
quick holly
"Proof by deduction"
so why did >=1 come into the sol?
worthy storm
because they want to show that it's strictly positive i guess
(x+2)^2 is >= 0
then you add 1 so now you're >= 1, which is strictly >0
gilded edge
(x+2)^2 +1
And this is obviously positive
quick holly
I see
quick holly
"Proof by deduction"
questions similair to this, should i always do completeing the square?
worthy storm
for quadratics that's the most straightforward way
worthy storm
you could also use calculus if you want
quick holly
differentiation?
worthy storm
yeah, the minimum will occur at a point where the derivative is zero
topaz sinewBOT
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neon iron
Hello I was learning the proof of
limit x -> 0 sinx/x by squeeze thereum
However I have a question
lim x-> 0 (1) ≥ lim x-> 0 Sinx/x ≥ lim (x->0) cosx
Now if theta is approching from the 4th quadrant then the limit of sinx/x is negative but the COSX is positive
How can -ve ≥ +ve
How is this valid limit
If L.H.L of inequalities ≠ R.H.L
topaz sinewBOT
@neon iron Has your question been resolved?
neon iron
so it's true for pi/2>theta>-pi/2
Yes it's true for theta > -90° or 270°
Here is what I am asking: suppose theta is approching from the 4th quadrant and theta is now 300° = 5.236 radian
Now sin(5.236)/5.236 is -0.8660
And cos(5.246) is 0.5
Now sinx/x ≥ COSX is invalid for all the values of x in 4th quadrant
Then how can we say that it's true for
90° > x > -90°(or270°)
wooden moon
who said that it's true in the fourth quadrant?
neon iron
x > -90°
Isn't this mean that it is approaching from the 4th quadrant?
wooden moon
no
where is the fourth quadrant?
seee for the values around x =0
what is the sinx/x there
we are simply not concerned with 4th quadrant here
neon iron
🤔
I am not in good condition to understand this graph just tell me theoretically
x > -90° means x>270° then this mean it is approaching from 4th quadrant
Maybe I too dumb to understand this
I have to think for few minutes
neon iron
Aaaaah
Yes
wooden moon
so we cannot simply say -pi/2 = 3pi/2
topaz sinewBOT
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Available help channel!
inner wren
nth term = n^3-3^n
starting from 1
topaz sinewBOT
nth term = n^3-3^n
starting from 1
lime perch
$\sum_{k=1}^n k^3-3^k$
inner wren
ifninity?
lime perch
is this not what you meant?
inner wren
no. sum of this expression, till n terms starting from 1, basically
i can reduce the question to:
Sum of powers of 3 till nth power.
restive inlet
$\sum_{i=1}^n (i^3-3^i)$
thorny flameBOT
ℝαμΩℕωⅤ
inner wren
yeah
restive inlet
the part with 3^i will be a geometric series
thorny flameBOT
Flappie
inner wren
yeah
so basically,
ar+ar^2+ar^3+ar^4
where r = 3 and a=1
ar(1+r+r^2+r^3+r^4.....)
ar(1+r(1+r+r^2+r^3+r^4......))
ar(1+r(1+r(1+r+r^2+r^3+r^4....)))
ikr its in gp. but how to get the suM?
3^n-(1/3) * 3^n - (1/3)*3^(n-1)..........
3 + (3+6) + ((3+6)+ 6+12)) + (((3+6) + 18) + 6+12+36)......
<@&286206848099549185>
wooden moon
geometric series
wooden moon
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Available help channel!
broken fulcrum
topaz sinewBOT
lime perch
i think it means base b^k
broken fulcrum
i think it means base b^k
so u get b^kx=x?
lime perch
so u get b^kx=x?
you cant use the right hand side
wooden moon
use log_b(a) = loga/logb
broken fulcrum
or that is proven
its proven already
broken fulcrum
you cant use the right hand side
i dont get what ur saying
lime perch
you start from the left hand side
and then use your log rules to get to the right hand side
broken fulcrum
does the bk get multiplied by x?
wooden moon
no
lime perch
no
broken fulcrum
so what do u do
lime perch
do you know your log rules?
topaz sinewBOT
@broken fulcrum Has your question been resolved?
broken fulcrum
use base formulae
ok
broken fulcrum
https://tenor.com/view/are-you-alive-you-there-markiplier-mark-edward-fischbach-...
sorry went afk for a while
broken fulcrum
use base formulae
ok ive tried a lot can u just give a step by step solution?
.close
topaz sinewBOT
thorny flameBOT
nino
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
inner wren
solution
cursive patrol
topaz sinewBOT
@inner wren Has your question been resolved?
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Available help channel!
livid gazelle
@everyone pls tell tthis
topaz sinewBOT
@everyone pls tell tthis
inner wren
let one be n.
inner wren
so (n-15)(n+17) = 0
therefore, the numbers are 15 and 17. 🙂
halcyon kestrel
Or how it works?
x = 15 or - 17. But since the odd integer can be positive only, x = 15. The other positive odd integer becomes 15 + 2 = 17. The larger integer = 17.
topaz sinewBOT
@livid gazelle Has your question been resolved?
light anvil
so (n-15)(n+17) = 0
therefore, the numbers are 15 and 17. 🙂
The question says the product of two consecutive odd natural numbers, both n-15 and n+17 may or may not be odd, depending on the value of n.
(also it says that their product is equal to 255)
I'd just do (2n+1)(2n+3)=255, giving n=-9 and n=7, discarding n=-9 and substituting n=7 you get that the biggest is 17
neon iron
$\vert\vert\text{A}\vert\vert={\vert\text{A}\vert}^{n}$
topaz sinewBOT
$\vert\vert\text{A}\vert\vert={\vert\text{A}\vert}^{n}$
thorny flameBOT
pun pun
neon iron
is this true?
where |A| is determinant and n is the order of that determinant
im feeling like its wrong but my teacher did a question using this property this morning
topaz sinewBOT
@neon iron Has your question been resolved?
mellow cypress
is this true?
whats the difference between | | A | | and | A |?
topaz sinewBOT
@neon iron Has your question been resolved?
lime perch
and | |A| | means determinant of determinant of A?
but determinant is a scalar, so then a determinant of a scalar is just a scalar?
neon iron
but determinant is a scalar, so then a determinant of a scalar is just a scalar?
yea?
it should be a scalar
lime perch
but what is the point of taking the determinant twice?
the determinant of a scalar is just the same scalar
golden blade
so true
wary tulip
pun pun
i cannot image ||A|| is the determinant of the determinant of A
it must be a matrix norm
lime perch
a scalar is just a 1x1 matrix, no?
wait that doesnt make sense
nvm
since then you wouldnt be able to multiply a scalar by a matrix
pseudo sonnet
topaz sinewBOT
@neon iron Has your question been resolved?
neon iron
man i dont know what a norm is
wait hold up
lemme just actually type the question
If A is a matrix of order 3 such that $\vert \text{A}\vert=5$ and $\text{B}=\text{adj}(\text{A})$, then the value of $||A^{-1}|(AB)^{T}|$ is equal to
fuck
thorny flameBOT
pun pun
neon iron
ok we good now
so this is the question
the solution is so cursed i dont even think its appropriate to send
urban grove
I think the relevant property you're thinking of is that if (c) is a scalar and (A) is an (n\times n) matrix, then (\det(cA) = c^n \det A)
thorny flameBOT
kalman_filtERIC
urban grove
is this what you meant by the original question? @bleak crystal
ah shoot pinged wrong person, sorry
@neon iron
neon iron
lmao im here
hold up
nah this is some other property, i know this property, but in this case i was not talking about this one.
should i just acutally send the solution
urban grove
Sure
neon iron
like the way our teacher made us solve that
oh ok
here @urban grove
$|adj(A)|=|A|^{n-1}$ where n is the order of the matrix
ive used this
i raised my original question because of this
OR we could just dump this solution and try to figure out some other way to solve this
thorny flameBOT
pun pun
urban grove
There is a line in here which is not valid
[\left|\frac{\operatorname{adj}(A)}{|A|}\right| = \frac{|\operatorname{adj}(A)|}{||A||}]
thorny flameBOT
kalman_filtERIC
urban grove
This line makes no sense
urban grove
**kalman\_filtERIC**
If we use this property though, with the scalar being 1/|A| and the matrix being adj(A)
We can see that it should be
[\left|\frac{\operatorname{adj}(A)}{|A|}\right| = \frac{|\operatorname{adj}(A)|}{|A|^3}]
thorny flameBOT
kalman_filtERIC
urban grove
And I believe that's what you're confused about? @neon iron
neon iron
If we use this property though, with the scalar being 1/|A| and the matrix being...
yea this thing makes sense
and i get it now
thanks a lot eric 😭
imma close now
.close
topaz sinewBOT
urban grove
no problem! :)
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Available help channel!
delicate cave
https://youtu.be/-ylIGciS7_8?t=166 what he does when he solves for the variable "a" confuses me, I dont really know how to cross multiply two equivalent fractions with one containing a variable and what he does Instead by swapping and multiplying by 2 confuses me even more
topaz sinewBOT
https://youtu.be/-ylIGciS7_8?t=166 what he does when he solves for the variable ...
rose sierra
The point is you want a value of a such that no solution exists
rose sierra
Since one of the equations is $9x-14=-3$, you want the second equation to be equivalent to $9x-14=k$, where $k \neq -3$.
thorny flameBOT
Ari
rose sierra
i.e. you want to the ratio of the x coefficient to the y coefficient to be -9/14
so $\frac{2}{-a}=\frac{9}{-14}$
thorny flameBOT
Ari
delicate cave
Im sorry but I dont think thats the solution
delicate cave
the solution to the problem is 28/9 but thats not what im asking, im asking about what he was doing when solving for A
Ok I think I figured it out
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topaz sinewBOT
topaz sinewBOT
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sterile schooner
can help me combine this transfer function
topaz sinewBOT
can help me combine this transfer function
sterile schooner
from Pc(s)/E(s), i cannot from that
gilded edge
I thank god daily i no longer do signal theory
sterile schooner
the Pc(s)/E(s) i did. it different with the answer from the book, i dont know why
sterile schooner
Can I see
i cannot shorten them as short as in the book
dont know where i wrong
4 hours for this
topaz sinewBOT
@sterile schooner Has your question been resolved?
gilded edge
Bro gave me the entire book
sterile schooner
Bro gave me the entire book
yeah, i said it in page 312
topaz sinewBOT
@sterile schooner Has your question been resolved?
sterile schooner
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steel mauve
no comprendo 😿
topaz sinewBOT
no comprendo 😿
steel mauve
<@&286206848099549185> 😿
topaz sinewBOT
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@steel mauve Has your question been resolved?
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steel mauve
guys im going to bed if some1 can help while i sleep plz do so it would be much appreciated, thank you
topaz sinewBOT
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steel mauve
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@steel mauve Has your question been resolved?
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proven tundra
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proven tundra
doing PLU decomp
i get the correct pivot L and U matrix
but i dont get how when i multiply all of the matrices
i do not get A
topaz sinewBOT
@proven tundra Has your question been resolved?
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@proven tundra Has your question been resolved?
neon iron
ouu matrix problem
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placid token
prove that tan200. Tan115 = 1+ tan200 + tan115
topaz sinewBOT
prove that tan200. Tan115 = 1+ tan200 + tan115
smoky sparrow
prove that tan200. Tan115 = 1+ tan200 + tan115
You know that tan 200 = tan(200 - 180) = tan 20 right
and similarly, tan 115 = tan(-65) = -tan 65
placid token
You know that tan 200 = tan(200 - 180) = tan 20 right
yes
placid token
and similarly, tan 115 = tan(-65) = -tan 65
65?
smoky sparrow
corrected
smoky sparrow
hold on
placid token
You know that tan 200 = tan(200 - 180) = tan 20 right
Do 180+20 instead?
it will be cot 20
waitnowaitno
in second and fouth quadrant tan changes to cot
so tan(180+20 = +tan20
tan(180-65) = -cot65?
✝️
smoky sparrow
oh wait it might be the tan addition formula
placid token
what
smoky sparrow
placid token
what
smoky sparrow
what
tan(a + b) = (tan a + tan b)/(1 - tan a tan b)
you should really revise your trig identities
smoky sparrow
and then just rearrange for tan 20 * tan 115
smoky sparrow
how did u get tan(a+b)?
pattern recognition, I suspected it might work
this looks pretty similar to your question so I said I might as well try it
placid token
pattern recognition, I suspected it might work
how
smoky sparrow
did u solve rhs Or LHS
Rearrange for tan(20) tan(115)
placid token
Rearrange for tan(20) tan(115)
its negative tho
smoky sparrow
prove that tan200. Tan115 = 1+ tan200 + tan115
you have multiplication and addition right here
placid token
tan(135) is -1
tan(90+45) = -cot45
placid token
you have multiplication and addition right here
thats rhs
you have to solve via lhs only
am hella confused
smoky sparrow
thats rhs
that's a valid proof
we've started from something that is true and manipulated it to arrive at your identity
we didn't assume what we were trying to prove
placid token
we didn't assume what we were trying to prove
what did u even do
ATellstep
tell step 1
what did u rearrange
placid token
yo
placid token
dude I'm done discussing this with you
i understood
tan 315 = -1
tan(200+165) = -1
tan200+ tan165/ 1- tan200tan165 = 1
tan200 + tan165 = 1 - tan200tan165
Is that correct
115* not 165
tan200tan165 = 1-tan200tan115
what after this @smoky sparrow
...
fast jay
@placid token I'll help you give me a sec I'll try it
placid token
<@714386130329665596> I'll help you give me a sec I'll try it
alr
fast jay
solved
fast jay
placid token
my teachers gonna give a 0
placid token
tan 315 = -1
@fast jay what abt this
placid token
tell them they are delusional from me
thats out of my syllabus
fast jay
that's true but why
placid token
that's true but why
see whole
tan 315 = tan(200+115) = -1
then tan(a+b)
tan 200+ tan115/ 1- tan200tan115 = -1
tan200+ tan115 = -1(1-tan200tan115)
fast jay
well that's litterally what i did just inversely but ok, L teachers tbh
placid token
well that's litterally what i did just inversely but ok, L teachers tbh
ye it's easy
placid token
you messed up some signs before
ye
@fast jay
im still confused when to take negative signs
fast jay
honestly my method was better because it shows more thatyou can see some patterns
but fine i guess
placid token
when converting cot to tan Or sin tto cos
fast jay
im still confused when to take negative signs
angle in second and 4th quadrant means it negative
placid token
honestly my method was better because it shows more thatyou can see some pattern...
ye
placid token
angle in second and 4th quadrant means it negative
the guy above you said that it was wrong
fast jay
huh
well believe me
between 0 and 90 it's positive
90 and 180 negative
180 and 270 positive
270 360 negative
placid token
and similarly, tan 115 = tan(-65) = -tan 65
see this
fast jay
same for cotangent but the result is 1/tan
placid token
same for cotangent but the result is 1/tan
?
placid token
You know that tan 200 = tan(200 - 180) = tan 20 right
11wrong ping
tan(200-180)?
is that possible
fast jay
oh he messed up here
tan(200-180)=-tan20
there's a minus
try drawing this aswell and you see
oh wait
nope im stupid
there's no minus
so he was right here aswell
placid token
tan(200-180)=-tan20
why not tan90-70
fast jay
you always might have to draw the angles and look at the tangent if you are unsure
placid token
you always might have to draw the angles and look at the tangent if you are unsu...
what tangents?
fast jay
tan
fast jay
then you won't make the exercise correctly
you'll get lost unless you're very good at it
placid token
then you won't make the exercise correctly
i can solve it orally
fast jay
if you can i guess
I'd check on paper
because you can't go wrong on paper, but you can in your mind
placid token
(although I messed up here)
placid token
because you can't go wrong on paper, but you can in your mind
ok
theres just too many forformulaes
i memorise one and another comes
fast jay
practice a lot
and i mean a lot
placid token
ob
fast jay
idk 16-17?
placid token
oh
fast jay
don't just memorize, practice using them
fast jay
if you're comfortable
18
placid token
don't just memorize, practice using them
right
fast jay
at first you'll have to have the formula in front but then you won't need it
placid token
thnx @fast jay
fast jay
np
placid token
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glossy adder
What in the hell does this mean
topaz sinewBOT
What in the hell does this mean
ionic oar
Do you know the quadratic formula
[ ax^2 + bx + c = 0 \implies x = \f{-b \pm \s{b^2 - 4ac}}{2a} ]
rapid wyvern
2z?
pseudo jetty
2z 
rapid wyvern
Peculiar
thorny flameBOT
neon
ionic oar
2z <:hmmcat:831508801646755850>
my keyboard is secretly azerty
pseudo jetty
well its no longer a secret now is it 
topaz sinewBOT
@glossy adder Has your question been resolved?
icy rapids
How can I shift this portion of the graph, so that the base touches the origin?
icy rapids
,rotate
thorny flameBOT
jade thunder
Move it up by 1?
icy rapids
No sorry, maybe it's not clear from the photo, I have to move the undeleted part
jade thunder
I don’t know what the undeleted part is
icy rapids
No, i Need to shift this part
solid fog
Do you have the original question?
icy rapids
Is this
solid fog
So you want that line to be represented as the x-axis?
Then its equation would be y = 0
If its across the origin
I dont understand the purpose of the question
icy rapids
I have to move that part below, so that the base of that part is at the origin
solid fog
Base of a straight line is something I have never heard
It's a one dimensional shape
I still don't understand the problem
What exactly are you trying to get? An equation?
solid fog
I need to move that red part to the origin
Represented as an equation?
icy rapids
Wdym
solid fog
Like $f(x) \rightarrow f(x) - \frac{\sqrt{2}}{2}$
thorny flameBOT
quevivamexico
icy rapids
We can try this
icy rapids
Like $f(x) \rightarrow f(x) - \frac{\sqrt{2}}{2}$
.
solid fog
.
Problema is its not a function... I dont know what the question is
If you wanted it to be at the origin you say "I would shift it vertically by -sqrt(2)/2 units"
topaz sinewBOT
@icy rapids Has your question been resolved?
devout veldt
Can someone explain this to me please
topaz sinewBOT
Can someone explain this to me please
lime perch
have you tried plotting it in the complex plane?
devout veldt
Ive seen a couple problems so far that involve complex numbers and stuff but I dont remember learning it
devout veldt
Yeah i get that
lime perch
so, how would you find this angle?
devout veldt
is that 5 times 12i?
lime perch
then (5-12i) - 12i no?
whats this?
lime perch
when you plot a point you usually draw a vertical and horizontal line to the axes so that you show where its at
devout veldt
i was thinking unit circle type stuff
lime perch
in this case i did double, because i showed the x and y aswell as the x and y at the point
devout veldt
idk how i would find the angle of that
lime perch
do you know how the find the angle here?
lime perch
so you do know how to find the angle
devout veldt
i know the drawing is shit but bear with me
is this a polar graph?
devout veldt
i got the angle of 296
but. the only thing im confused about
is why 5 is x axis and -12 is y axis
lime perch
i got the angle of 296
that doesnt seem quite right
devout veldt
why not
lime perch
is why 5 is x axis and -12 is y axis
its -12i
devout veldt
I mean it was the correct answer
lime perch
im getting 292.6 as my angle
devout veldt
im getting 292.6 as my angle
yeah 292 sorry
lime perch
do you know how to plot complex numbers?
devout veldt
do you mean like 2i + 3j + 4k?
lime perch
thats not a complex number
lime perch
do you mean like 2i + 3j + 4k?
that looks like a quaternion
devout veldt
do you mean like 2i + 3j + 4k?
I learned this with vectors
idk what you would call it exactly
lime perch
youve never seen something like this?
ugh, that looks awful when i paste it here
anyway, its readable sorta
lime perch
you are dealing with complex numbers
im pretty sure something like this is one of the first things you would learn with them
lime perch
Can someone explain this to me please
then how are you expected to solve smth like this?
devout veldt
idk tbh thats why I asked if someone could explain it to me
lime perch
okay
the general form of a complex number is a+bi
we can graph complex numbers in a 2D plane
we take the real part (a) to be the x
and we take the imaginary part (bi) to be the y
devout veldt
seems simple enough
lime perch
youve never seen something like this?
so, if you look at this
the x value is 3
and they y value is 4i
and so we can make a triangle with sides 3 and 4
and from there we can calculate its angle and thus write it in polar form
thorny flameBOT
Flappie
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short iris
Let f : [0,1] → R be of class C1 such that f (0) = f (1) = 0. Show that for all a ∈ R, the function f′ + a f cancels on ]0,1[.
I need help. With rolle f cancel but for f'
topaz sinewBOT
Let f : [0,1] → R be of class C1 such that f (0) = f (1) = 0. Show that for all ...
odd pagoda
well thats just clearly false. can you give a picture of the question
topaz sinewBOT
@short iris Has your question been resolved?
short iris
well thats just clearly false. can you give a picture of the question
I am french but if you understand
rose sierra
cancels means equals 0 for all x in [0,1]?
short iris
no