No
#help-33
marsh peak
Now A11 is the same matrix as the original one except with size (n-1)x(n-1)
So we can define a sequence a_n with the nth element equal to the determinant of such nxn matrix
You will have a_1 = 1 and a_{n+1} = 2a_n
A quick induction shows that a_n = 2^{n-1}
drowsy stirrup
A quick induction shows that a_n = 2^{n-1}
ok man i think i understood as much as i could
thank you for the help
.close
obtuse lily
How to calculate CPI?
marsh citrusBOT
How to calculate CPI?
devout mauve
context?
quaint hill
like... consumer price index?
marsh citrusBOT
@obtuse lily Has your question been resolved?
marsh citrusBOT
I SPENT AGES ON RHIS AND IT SAYS WRONG I CHECKED IT IDK HOW 😭😭
sharp ivy
I'd say you made a mistake when you divided 96 by 12 to calculate x. Did you get 7, or am I mistaken? x isn't 7...
The mistake happened when you added 24 insted of 12 in that vertical calculations:
12 24 36 (60?) 72 84 96
Compute again x=96 : 12, then you'll have to repeat the last part, with the correct x...
marsh citrusBOT
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high spoke
I have another question
Solve the quadratic trigonometric inequality:
2sin²x - 3sinx+1 < 0
tawdry rampart
!status
marsh citrusBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
Is it related to discriminant? Because every time I look answers for it, other people say that it is solved by discriminant
tawdry rampart
Is it related to discriminant? Because every time I look answers for it, other p...
i think that might be because they are using the quadratic formula
high spoke
i think that might be because they are using the quadratic formula
So it should look like this?
high spoke
so what exactly is your doubt?
I needed confirmation of my thoughts
tawdry rampart
ohk
high spoke
Oh and hey, can I close this channel and reopen it for another question? Or I need to ask in the same ticket?
@tawdry rampart
tawdry rampart
!1q
marsh citrusBOT
It is suggested that you limit yourself to one question per help channel, opening a new one once your original question is answered and your original channel has been closed. This is to make your channel easier to follow for potential helpers and can bring attention to the fact that your question has changed.
tawdry rampart
you should close this one
you can reopen this itself or open a new one
i recommend opening a new one
!done
marsh citrusBOT
If you are done with this channel, please mark your problem as solved by typing .close
tawdry rampart
this is how you close
sinful hinge
hi! i might just be getting rusty on integration but can anyone tell me why there's a 1 in calculating the area of D?
marsh citrusBOT
hi! i might just be getting rusty on integration but can anyone tell me why ther...
@sinful hinge Has your question been resolved?
torpid drum
Hi I need some help, I don't understand how to solve the right equation? e^-4t(t^2 - 9)U(t+3)
marsh citrusBOT
Hi I need some help, I don't understand how to solve the right equation? e^-4t(t...
torpid drum
Im not sure how to change the t^2-9 into the form (t-a)u(t-a) as well as how to deal with the e^-4t
marsh citrusBOT
@torpid drum Has your question been resolved?
main idol
Im not sure how to change the t^2-9 into the form (t-a)u(t-a) as well as how to ...
Factor t^2 - 9
torpid drum
Factor t^2 - 9
so (t-3)(t+3) right?
main idol
,w factor t^2-9
elfin berryBOT
main idol
Yes
torpid drum
ah so then u replace the (t+3) with t and then use the first shifting theoreom to solve?
is that right
torpid drum
ah so then u replace the (t+3) with t and then use the first shifting theoreom t...
i replaced the t+3 with t
main idol
Why did you replace t+3 with t only in one place
torpid drum
because the unit step function is u(t+3) right, so u replace the t+3 and leave the t-3, i think at least im not sure
main idol
Then where did your step function go on line 3
torpid drum
Then where did your step function go on line 3
sorry i didn't write them down b4
main idol
Again I don't know why you're selectively changing some t+3 to t
main idol
because the unit step function is u(t+3) right, so u replace the t+3 and leave t...
What justifies this
And not shifting the t in step function
This is the first shifting theorem.
Do you have a different one
https://math.libretexts.org/Courses/Cosumnes_River_College/Math_420%3A_Differential_Equations_(Breitenbach)/09%3A_Laplace_Transforms/9.04%3A_The_Shifting_Theorems
torpid drum
And not shifting the t in step function
sorry im not very good at this topic, from what i understand the 2nd shifting theorem like if there is the t-a with the unit step function same t-a it will become to t, the first shifting theorom i can understand its just im not sure how to handle when its both at once
i just really need help to understand how this 2nd shifting theorem works and also how it works in this case with the e^-4t shift as well
<@&286206848099549185>
torpid drum
@main idol is this correct? i think the e^-4t was a mistake as there was a misplaced bracket
torpid drum
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lusty furnace
can someone pls help i dont get how the domain would be somethingi thats not this
marsh citrusBOT
can someone pls help i dont get how the domain would be somethingi thats not thi...
stark sandal
can someone pls help i dont get how the domain would be somethingi thats not thi...
you're right in that it's greater than 0
you missed one more condition though
wary kite
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storm flume
marsh citrusBOT
storm flume
this isnt a proper question but i dont really get what the bracket 0 k means
crystal lagoon
this isnt a proper question but i dont really get what the bracket 0 k means
it's a vector
Have you learnt that yet?
storm flume
ahh ok, what is the vector trying to say in this case?
or what is it meant to represent?
storm flume
It contains a magnitude and direction
omg why does that sound so science-y
crystal lagoon
It bassically translates something to somewhere else, ie moves a body around by the vector
storm flume
translated means move right?
crystal lagoon
omg why does that sound so science-y
That's the physics definition lol, since the formal math one isn't learnt that early
crystal lagoon
translated means move right?
Yes
crystal lagoon
it moves by
(X)
(Y)
crystal lagoon
for example if the vector is
(1)
(1), that means it goes right once (x axis) and up once (y axis)
crystal lagoon
Yesss
storm flume
for example if the vector is
(1)
(1), that means it goes right once (x axis) an...
okok tysm kind tortured soul!
i will give u kisses
.close
marsh citrusBOT
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dense wraith
marsh citrusBOT
trim quest
Bring all the terms to the left side of the equation. This can be factored by grouping
dense wraith
trim quest
What I mean by factoring in groups is more like
oh actually, first of all, those terms you brought to the left need to be negative
You subtracted them from both sides
so
dense wraith
oh my bad
trim quest
But by factoring in groups I meant like:
$$z^5 - iz^3 + 8z^2 - 8i = 0$$
$$z^3(z^2-i) + 8(z^2 - i) = 0$$
elfin berryBOT
tatpoj
dense wraith
oh ok
trim quest
and then you can factor out z^2-i
marsh citrusBOT
@dense wraith Has your question been resolved?
marsh citrusBOT
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mild needle
what is the domain of this function
marsh citrusBOT
what is the domain of this function
mild needle
i said {(x,y) ∈ R^2 | x^2 <2y} and i got false
cunning river
you cant make the domain with a condition like this x^2 <2y
mild needle
you cant make the domain with a condition like this x^2 <2y
why not?
we were taught to write it like this for example
unborn condor
you got false because you have more conditions
y is not a real, it's a strictly positive real
or if you have to input it on a program, they might want you to write it as 2y>x^2 instead of x^2<2y
mild needle
or if you have to input it on a program, they might want you to write it as 2y>x...
it was on paper
marsh citrusBOT
Show your work, and if possible, explain where you are stuck.
mild needle
the teacher corrected it and said it was false it was an exam like 3 weeks ago and we got back the correction
if I remember correctly there was 2 conditions
one was x^2=2y is excluded and the other is you need 2y>=x^2
unborn condor
do you have the original question?
main idol
,rccw
elfin berryBOT
unborn condor
okay, you didnt specify that x and y are reals
marsh citrusBOT
marsh citrusBOT
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clear basin
marsh citrusBOT
stray fern
can i use this
yeah
marsh citrusBOT
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placid gull
Im confused what this question is asking and how i would solve it "The parabola has the property of focusing waves, such as light and radio waves, to a single point. A parabolic reflector has a diameter of 4m and a max depth of 1m. How deep is the reflector at 1m from the edge"?
marsh citrusBOT
Im confused what this question is asking and how i would solve it "The parabola ...
placid gull
because when i graph it, the obvious answer is 0.75. but idk how to figure that out algebraically (i think thats the correct term)
delicate wharf
the parabola has a diameter of 4m, and a max depth of 1m which means if you center it on the origin, it should stick out 2 units on either side
at at each end, it should be at a height of y=1 (depth of 1m)
if you take the parent parabola, x^2, you need to ask, what do i need to scale it by, so that when i go 2 units to the left or right (x=-2, 2), i get 1 as my output
and if (2)^2 is 4, but you want the output to be 1, you scale it down by 1/4
giving you the equation of (x^2)/4
then, the question asks, how deep is it 1m from the edge?
since it goes out to 2m, that means that 1m from the edge is at x=1 or -1
and if you plug in x=1 or -1 to x^2/4, you get 0.25
and since we defined the parabola as reaching a maximum of 1, 0.25 is going to be 0.75 units from 1
and thus the parabola is 0.75m deep 1m from the edge
placid gull
the parabola has a diameter of 4m, and a max depth of 1m which means if you cent...
thank you smart person
marsh citrusBOT
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primal drift
marsh citrusBOT
copper jacinth
you could let u = tan(x) and hope that u^3 + u + 2 is factorable
sorry i mistyped
primal drift
that could work so if you take out a value
the whole thing is divisible by that value
ok like i use my calculator and got x1 as 0
and x2 as -0.5
copper jacinth
for the zeroes of u^3 + u + 2?
copper jacinth
0 doesn't sound right
if you let u = 0 is u^3 + u + 2 =0
without a calculator is HELL lol
you use ratioanl zeroes theorem which tells you that if a polynomial has rational zeroes, they are the form of the divisors of the constant over the divisors of the coefficient of the highest power term
proud ice
but how woulld i do it without a calculator
RRT
copper jacinth
you basically then guess and check the entire list
copper jacinth
yeah
but that tells you it would have to be u + 1
right
becuase -1 makes u + 1 = 0
-1 makes u - 1 = -2
primal drift
oh right my bad it would u+1 than
copper jacinth
yeah
primal drift
oh wait no you are correct U+1 was correct i just messed up my long division the first time
oh i see the calculation once you factor
your quadratic become 1+-root7 * i all over 2 which those soloutions are not possible
copper jacinth
i trust it
primal drift
so you just get tanx = -1
have an raa of pi/4
and between the hits just 3pi/4 and 7pi/4
yeah i realised i just pressed cubic function on my calculator earlier
and did a as 1 b as 1 and c as 2 and d as 0
copper jacinth
ah i see
primal drift
if i were using a calculator how would i enter it in, may i ask?
copper jacinth
i've never used a calculator that solves quadratics/polynomials but if you're using RRT you can use the calculator to more easily plug in the roots
like if you know the possible roots are 1/2,1/3,1
you can just plug those into the polynomial and see if the polynomial is 0
marsh citrusBOT
marsh citrusBOT
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lean falcon
am i right with A here?
marsh citrusBOT
am i right with A here?
marsh citrusBOT
marsh citrusBOT
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gloomy oak
heres the problem and
marsh citrusBOT
heres the problem and
gloomy oak
(problem 31)
heres my work im just wondering if its right
i ignored P because i already cancelled it out before? is that right
main idol
heres my work im just wondering if its right
Looks right if your calculations are right and your rounding didn't make it wrong at the end
marsh citrusBOT
teal light
Oops sorry
marsh citrusBOT
sleek fern
no worries
teal light
So what do I properly do
teal light
Okay thank you so much
teal light
Okay thank you
marsh citrusBOT
Available help channel!
still temple
Need help figuring out some very simple formulas for my coding project ( i cant math )
marsh citrusBOT
Need help figuring out some very simple formulas for my coding project ( i cant ...
still temple
wait
that was the wrong pic
do these numbers have a formula? the way that they are increasing
still temple
not really
rancid geode
its inconsistent
still temple
here is the full table
ignore the green
rancid geode
as column or row?
still temple
its inconsistent
are you sure? yesterday we founda formula like this that seemed 100% random but we found it after 8 hours
rancid geode
for row, it's easy
still temple
for row, it's easy
column
still temple
for all of them?
still temple
idk why first one doesnt
that one doubles
quick moth
idk the next 4
i just did a fraction of them
and both were 4/3 and 1.5
after that tho
quaint elm
plot them on a chart and it'll be easier to see
quick moth
the pattern seems fine
still temple
its such a weird pattern
quick moth
actually pattern breaks
at the end of first column
idkl
from 88 to 110
its 1.25
but 88 times 1.5=132
so
still temple
we found a formula to a pattern just like this like yesterday or the day before
it looked completaly random at first but we did it, i think we can say the same for this one too, do you want to see the one that we found the formula to ?
still temple
its fine bro
gn
<@&286206848099549185>
If anyone came here to help, ping me so i can get notified that youre here im on another tab
marsh citrusBOT
@still temple Has your question been resolved?
marsh citrusBOT
@still temple Has your question been resolved?
still temple
<@&286206848099549185>
still temple
chilly spoke
here is the full table
ignore the green
if you divide each number with the base one, then you'd have an easier pattern
still temple
hmm let me see
chilly spoke
it changes from +1 to +2 to +4
still temple
ye, realised that, im looking for a formula to compactly fit that into my code, since i dont know any math, thats why i came here for help
and its not just that, we got rabbit shrine and coach too
the shrine one is weirder, not really a balanced pattern
chilly spoke
ye, realised that, im looking for a formula to compactly fit that into my code,...
why not just do it programmatically?
doing a complete formula seems unnecessary
if you know when it changes from +1 to +2 and from +2 to +4, then you can program that in
still temple
ye it does, but not for time tower, the time tower one has more costs
chilly spoke
the shrine one is weirder, not really a balanced pattern
lemme take a look
chilly spoke
the shrine one is weirder, not really a balanced pattern
that one's +1, +2, +5
chilly spoke
ye it does, but not for time tower, the time tower one has more costs
isn't that the original image?
still temple
it is
chilly spoke
it's just +500k per prestige
chilly spoke
if you know when it changes from +1 to +2 and from +2 to +4, then you can progra...
and then it's the same I think
still temple
isn't that the original image?
i can code it without a compact formula, but having a formula just like the one we made 2 days ago makes it better,
you plug the prestige and level in, and it gives the cost
also if its not possible dont tire yourself, i can code it without a formula
chilly spoke
I mean, I can probably do it
but I don't see a reason to, it'd be less readable than if you do it without
still temple
if you have the time to, ill be grateful, and if you dont, ill try to figure it out by myself but it will take much longer, these should be the last formulas of the game as far as im concerned
lmao i love python 😂
Coach level increased by 2! New level: 7. Multiplier is now 0.7000000000000001!
chilly spoke
if you have the time to, ill be grateful, and if you dont, ill try to figure it ...
I don't think I will be converting it into a formula for you
but you can do it using some basic arithmetic and the min function though
chilly spoke
for coach, I haven't figured it out yet
I'll be back in 30 or so minutes if someone else hasn't
gonna play some modded mc
still temple
<@&286206848099549185>
what is the formula here?
rapid dirge
What do u mean
still temple
how does it grow
still temple
looks geometric
u iranian?
plush gazelle
no
still temple
asked coz of the name
cedar stone
Where r u getting these values from?
plush gazelle
indian
still temple
Where r u getting these values from?
its something that i need to find the formula of for my coding project
rapid dirge
What’s the question tho
still temple
i just need to find the formula so i can easily include it in my code
rapid dirge
There’s no stable formula but
still temple
i just want to know how are the numbers growing, based on what
rapid dirge
You subtract 2
Like
Here
Subtract
870,000,000-650,000,000
That gives difference
And ratios
When u do
870,000,000/650,000,000
Then u get growth pattern
still temple
1.33846153846
rapid dirge
good
rapid dirge
thats the growth pattern for that one
still temple
multiply one using 1.33846153846?
still temple
78969230.7692
rapid dirge
78969230.7692
You got 79M
still temple
79m
rapid dirge
yup
still temple
ye but not exactly 79m
rapid dirge
That’s how u do it
still temple
i got like 78969230.7692
rapid dirge
Round it up
rapid dirge
ok
still temple
its incostistant
still temple
i will, i got another one that i kinda need to find the formula of
if prestige = 2 level =1
outcome = 5.5m
thats like how it works
ignore the green numbers
still temple
erm
we fixed another one like this 2 days ago but it took 8 hours and it seemed random at first
this is one for the last one, ye it kinda has a random pattern
still temple
U sure that’s math tho
:DDD
chilly spoke
excluding the first one,
it seems like the next value is 1.35*prev_value then rounded to 2 significant digits
for the coach one
still temple
excluding the first one,
it seems like the next value is 1.35*prev_value then ro...
ty but i already wrote the code lol
still temple
this one is the one that id rather find the formula for then code
chilly spoke
that's good too
incase you wanna expand it ig
still temple
ye
still temple
in here we dont have factory 1 because you unlock timetower at factory 2
this one seems to be value times first cost, then value times first cost 2 times then 6 times? idk how to do math
still temple
like 5.5m / 220m?
chilly spoke
yea
if you do that for every number, what do you get?
just do it for factory 2
actually the opposite of that
like 220m/5.5m
chilly spoke
this one seems to be value times first cost, then value times first cost 2 times...
you've kinda figured it out here
it's 1*base, 2*base, ...4*base, 6*base, 8*base,...
and then at some point it increases by 4*base
still temple
thanks bro
love you ❤️
(not in a gay way, i just appreciate the time you put in to help me :))
.close
marsh citrusBOT
marsh citrusBOT
Available help channel!
glossy sapphire
Check that my Derivation / Proof (not sure which word is appropriate here) that Radical sqrt(1+sqrt(1+sqrt(1+…))) = 1 + 1/(1 + 1/(1 + 1/(1 + …))) is logically consistent and has no errors
marsh citrusBOT
Check that my Derivation / Proof (not sure which word is appropriate here) that ...
glossy sapphire
Let ( u = \frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \cdots}}} ).
[\frac{1}{u + 1} = u]
[\frac{1}{u} = u + 1]
[u = \frac{1}{u} - 1]
Derive EQN (1)
[\frac{1}{u} \cdot (u + 1) = (u + 1)^2]
[1 + \frac{1}{u} = (u + 1)^2]
[u + 1 = \sqrt{1 + \frac{1}{u}} \tag{1}]
Derive EQN (2)
[u \cdot \left( \frac{1}{u} + 1 \right) = \left( \frac{1}{u} - 1 \right) \cdot \left( \frac{1}{u} + 1 \right)]
[1 + u = \frac{1}{u^2} - 1]
[\frac{1}{u^2} = 2 + u]
[\frac{1}{u} = \sqrt{2 + u}]
[\frac{1}{u} = \sqrt{1 + (1 + u)}]
[\frac{1}{u} = \sqrt{1 + \frac{1}{u}} \tag{2}]
From EQN(1),
[u + 1 = \sqrt{1 + \frac{1}{u}}]
Since ( \frac{1}{u} = \sqrt{1 + \frac{1}{u}} ) from EQN(2), we can rewrite as:
[
u + 1 = \sqrt{1 + \sqrt{1 + \frac{1}{u}}}
]
We can substitute EQN(2) infinitely to get our required proof.
Thus, we have proved that:
[
1 + \frac{1}{1 + \frac{1}{1 + \cdots}} = \sqrt{1 + \sqrt{1 + \cdots}}.
]
elfin berryBOT
fall
quiet anvil
So, the problem with these sorts of expressions is that they aren't well defined.
glossy sapphire
Ah…
quiet anvil
Nothing is wrong with your work, per se
glossy sapphire
So the problem here is the way i mishandled its definition?
quiet anvil
Well, the problem is assuming expressions like sqrt(1 + sqrt(1 + ...)) have specific single meanings.
For instance, there are two roots to that equation. Phi and -1/phi
glossy sapphire
Yep
quiet anvil
What does it mean for there to be a second value for this expression?
Which one is correct?
glossy sapphire
I would argue since it consists only of positive integers, only the solution that is >0 is correct
stoic slate
That is why you have to define them correctly
glossy sapphire
So i have to use abs()?
quiet anvil
You might argue this. But there is a very real sense in which both values are correct.
glossy sapphire
You might argue this. But there is a very real sense in which both values are co...
Is it because square roots return both + and -?
quiet anvil
No
stoic slate
Sqrt doesnt return both
glossy sapphire
Hmm, how should i define it better in this case?
quiet anvil
You should define it as the limit of a particular sequence
glossy sapphire
Hmm, i dont think ive learnt that
quiet anvil
And the seed value actually affects the result.
glossy sapphire
Is there an article anywhere i can read up on regarding that
glossy sapphire
And the seed value actually affects the result.
Oh.
glossy sapphire
I see…
I ll read up on limits regarding radicals, thank you for the advice 🙏
.close
marsh citrusBOT
quiet anvil
I ll read up on limits regarding radicals, thank you for the advice 🙏
For problems like this, it might be more enlightening to examine numbers of the form φ + ε
Where ε is a small value
And see if ε grows or shrinks under iteration
Essentially you set up, x(1) = c, x(n+1) = 1/(1 + x(n))
And choose your c.
You still use the substitution to find the limit as you did before
glossy sapphire
Ah ok
quiet anvil
You'll find one of three behaviors
Either the ε will get bigger (this fixed point is unstable), smaller (stable), bigger from one side and smaller from the other (metastable)
And also, there will be certain values that will happen to become undefined after a few iterations
Due to being undefined.
glossy sapphire
Hmm, is it alright for you to provide an example so i can visualise whats going on 😅
marsh citrusBOT
✅
quiet anvil
So the important thing is the seed value.
glossy sapphire
.reipen
quiet anvil
We can examine a few.
glossy sapphire
Oh
quiet anvil
Let's start with x(1) = 0
x(2) = 1/(1+0) = 1
x(3) = 1/(1+1) = 1/2
x(4) = 1/(1+1/2) = 2/3
And so on
We can see this converges to 1/phi eventually
glossy sapphire
Yep
quiet anvil
What about x(1) = 2?
glossy sapphire
X(2) = 1/(1+2)? = 1/3?
quiet anvil
x(1) = 2
x(2) = 1/(1+2) = 1/3
x(3) = 1/(1+1/3) = 3/4
x(4) = 1/(1+3/4) = 4/7
This also will converge to 1/phi
glossy sapphire
Ohhh
quiet anvil
(Lucas sequence)
What if we have exactly x(1) = -phi?
x(1) = -phi
x(2) = 1/(1-phi) = -phi
x(3) = 1/(1-phi) = -phi
So this also gives us a fixed point, but a different one.
glossy sapphire
O dang
quiet anvil
x(1) = -2
x(2) = 1/(1-2) = -1
x(3) = 1/(1-1) = 1/0, error
quiet anvil
No
The point is that whatever you define x(1) as, this is a choice
And it's a choice that determines what the value of that expression will be
! occupied
marsh citrusBOT
Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).
quiet anvil
You're welcome
glossy sapphire
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marsh citrusBOT
glossy sapphire
I misspelled haha
quiet anvil
Choice is a new one
glossy sapphire
XD
quiet anvil
For me anyway
glossy sapphire
Adhd kids invent new shit everyday
marsh citrusBOT
Available help channel!
marsh citrusBOT
grand radish
+infinity
jovial osprey
ah
im pretty sure they just did it to make the problem easier
its still the same problem
0 to infinity
is the same thing as
0 to 1 than 1 to infinity
could be wrong tho
grand radish
probably a test
convergence or divergence test
but I'm not studying this topic so I'm not sure
neon willow
,, Tan(60) = \frac {a} {b}
marsh citrusBOT
,, Tan(60) = \frac {a} {b}
elfin berryBOT
Mirabella
neon willow
Can anyone tell me how tan works?
I know how to calculate it.
But I want to know how can it find a side?
Based on degrees.
60 is degrees.
Of an angle
But Tan?
,, Tan * 60
elfin berryBOT
Mirabella
cunning river
you need to know either a or b to know the other
cunning river
its a function
ruby flame
tan is sin/cos
runic swan
What is Tan?
tan is tangent
neon willow
its a function
function that?
cunning river
function that?
neon willow
, calc cos^-1 (0,066)
elfin berryBOT
The following error occured while calculating:
Error: Parenthesis ) expected (char 10)
neon willow
@cunning river
cunning river
ruby flame
im confused
we are all confused, what do you know exactly?
neon willow
idk what this is
cunning river
see this circle here the radius is 1 so if we want to calculate sinO its the opposite side divided by1
right?
runic swan
thats wrong
elfin berryBOT
Mirabella
runic swan
u mean 0/179?
neon willow
enter the angle in degrees when
The tangent of the angle is 0,179
runic swan
u use a calculator
neon willow
ik
runic swan
tan^-1(0.179)
neon willow
what does 0,179 indicate?
runic swan
radians
neon willow
is it ,,a/b = 0,179?
runic swan
what
elfin berryBOT
Mirabella
neon willow
, calc tan^{-1}(0,354)
elfin berryBOT
The following error occured while calculating:
Error: Symbol or string expected as object key (char 6)
runic swan
relationship between height and base of the triangle
neon willow
so opp over hyp is 0.179
wym over?
runic swan
$\frac{opp}{hyp}$
elfin berryBOT
jackeylove
runic swan
u use tan^-1 to find the angle
elfin berryBOT
Mirabella
$tan = \frac{a}{b}$
elfin berryBOT
Mirabella
elfin berryBOT
Mirabella
runic swan
write 0.179 as a fraction
idk what ur trying to do here
what r u trying to find
whats ur question
neon willow
find the angle in degrees when
The tangent of the angle is 0.179 0.354 0.839 1.437 11.43
runic swan
are you allowed to use a calculator
neon willow
ik
im trying to
understand what these are
okay sure, i know how to use the formula
however i want to LEARN
the math
i can use pythagoras theorem for example and use it, however i dont know what is it unless i know that if you add square of a and aquare of b it is square c
neon willow
@runic swan omg why r u difficult
<@&286206848099549185> give me a video explaining trigonometry, not how to calculate it but how it works. Definition MEANING.
merry pivot
What do U need help with
grand radish
khan acadedmy
marsh citrusBOT
@neon willow Has your question been resolved?
thin cairn
Leave this young lady alone she’s lovely
neon willow
Ik!
merry pivot
💀💀💀😭😭
merry pivot
Dis aint even the hard trig yet
😭🙏
If ur being fr I will help you but I’m actually convinced bro is js
Trolling
cedar stone
tan(x) = sin(x)/cos(x)
ig by 0,179, they mean that in degrees, the period of tan(x) is 180, so tan(0) = tan(180), so they are saying all number from 0 to 180 excluding 180
neon willow
Sir, I’m not trolling.
neon willow
ig by 0,179, they mean that in degrees, the period of tan(x) is 180, so tan(0) =...
@cedar stone Can you give me a video explaining this?
cedar stone
<@870585113614909481> Can you give me a video explaining this?
you mean periodicity of tan?
neon willow
grand radish
3/5
elfin berryBOT
Mirabella
elfin berryBOT
Result:
0.8
neon willow
So ultimately, Sin A is a ratio between b/c @cedar stone
neon willow
sin a = 3/5
Yes
So sin a tell the RATIO between two lengths?
@cedar stone
Am I right?
cedar stone
So sin a tell the RATIO between two lengths?
yes
cedar stone
Am I right?
yes
neon willow
,Calc asin(/frac {3}{5}
elfin berryBOT
The following error occured while calculating:
Error: Value expected (char 6)
neon willow
,Calc asin(/frac {3}{5})
elfin berryBOT
The following error occured while calculating:
Error: Value expected (char 6)
amber birch
,Calc asin(/frac {3}{5}
,w arcsin(3/5)
elfin berryBOT
amber birch
oh but this answer is in radians
neon willow
I want in degrees
amber birch
,calc 0.6435 * 180/pi
elfin berryBOT
Result:
36.869834116668
neon willow
I’m actually confused what does -1 do?
amber birch
I’m actually confused what does -1 do?
ah, it's the inverse function
so $f^{-1} (x)$ is the inverse function of $f(x)$
neon willow
When do you use it?
elfin berryBOT
southlander!
amber birch
this means $f(f^{-1} (x)) = x, f^{-1} (f(x)) = x$
elfin berryBOT
southlander!
amber birch
if you apply the inverse then the original function in any order, you get back your original number
amber birch
When do you use it?
so when you have say sin x = 0.5 or cos x = 0.7
and you want to find x of course
you apply the inverse functions, sin^(-1) or cos^(-1) to both sides
so x = sin^(-1) (0.5) and x = cos^(-1) 0.7
neon willow
Let’s say
elfin berryBOT
Mirabella
neon willow
@amber birch How to add degrees?
amber birch
**Mirabella**
ah, $\sin(50^{\circ})$
elfin berryBOT
southlander!
neon willow
,, \sin(50^{\circ}) ≠ \sin(50) ??
amber birch
,, \sin(50^{\circ}) ≠ \sin(50) ??
uhhh yeah sin(50) is not clear, it's ambiguous
sin(50) can mean sin(50 radians)
neon willow
,text $\sin(50^{\circ})$ ≠ $\sin(50)$ ??
elfin berryBOT
Mirabella
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
amber birch
but you can tell from the context usually
neon willow
wtf why isn’t ≠ put there
amber birch
,text $\sin(50^{\circ})$ ≠ $\sin(50)$ ??
yeah they're not the same
elfin berryBOT
Mirabella
neon willow
,,Sin * 50°
amber birch
,,Sin * 50°
don't write that
sin is a function!
you can put some number into the function
but $sin + 2, sin - 2, sin \cdot 2, sin \div 2$ make zero sense
elfin berryBOT
southlander!
neon willow
Can you tell me other thing as a function?
amber birch
Can you tell me other thing as a function?
what is a function you mean?
neon willow
what is a function you mean?
Did I learn any other functions in primary school?
amber birch
Did I learn any other functions in primary school?
hmmmm, no, primary school students don't usually learn functions
amber birch
a function is a machine
you put one number in
you apply some rule
and you get another number out
neon willow
Without a calculator no one knows what sin is?
amber birch
Without a calculator no one knows what sin is?
that is true
we can only figure out special values of sin
neon willow
that is true
Cause someone sent a crazy formula for sin
amber birch
like sin 0, sin 30, sin 60, sin 45
amber birch
Cause someone sent a crazy formula for sin
oh it's beyond your knowledge
neon willow
oh it's beyond your knowledge
I’m just in first year high school
amber birch
long story short, if you have sin(k degrees) where k is a fraction or a whole number
neon willow
I just barely know sin cos tan
amber birch
then x = sin(k degrees) into some polynomial
neon willow
What’s radians?
amber birch
such as $2x^5 - 3x^3 + 2x^2 - x + 7$ or something, when you put that $x$ in
elfin berryBOT
southlander!
amber birch
gives you zero
amber birch
What’s radians?
oh it's another unit of measuring an angle
neon willow
Haven’t learned it…
amber birch
neon willow
Can you also give me an image on how to calculate circumference of a circle?
amber birch
Can you also give me an image on how to calculate circumference of a circle?
it's just circumference = pi * diameter = 2 pi r
for a sector you just do this
neon willow
it's just circumference = pi * diameter = 2 pi r
Diameter is like full inside circle?
amber birch
And how to calculate circumference?
2 pi r
neon willow
Why 2 pi?
amber birch
Why 2 pi?
oh it's a definition
pi = circumference/diameter
so circumference = diameter * pi
amber birch
Yeah diameter = 2*r
but now sub this diameter into the equation above
amber birch
So circumference is as well as pi * diameter?
yes!
neon willow
Pi is a specific point or?
amber birch
(and how do we get that number? try drawing a circle
now use some string and try to wrap it around your circle
then straighten out the string and you have found the circumference length)
amber birch
3.14 only?
yes that's enough for most purposes
neon willow
(and how do we get that number? try drawing a circle
now use some string and try...
Can you send a video?😭
amber birch
neon willow
https://www.youtube.com/watch?v=WPuzpggl9Z4
We’ll get back in that later
Do I need to learn contangus as a beginner?
amber birch
Do I need to learn contangus as a beginner?
I guess so
neon willow
I feel like it’s just skipped
amber birch
And how to divide 1 with cos?
oh yeah that's not good notation
I mean 1/cos(x)
sorry about that
amber birch
x is an angle?
yes!
neon willow
Cos(x) tell the ratio between b/c?
Right?
Am I having this correct
Way of thinking
amber birch
Cos(x) tell the ratio between b/c?
yes, cos = adjacent/hypotenuse
amber birch
this
neon willow
@amber birch If I attended 344 classes out of 365 all possible classes, it’s 94,24% right. Now how much more classes do I need to attend to get 95% of attendance?
amber birch
<@1151031274413228043> If I attended 344 classes out of 365 all possible classes...
how many classes more are there to attend?
neon willow
Do I need to know that?
amber birch
Do I need to know that?
yes
elfin berryBOT
Result:
387.6
,calc 387.6 - 344
neon willow
388
elfin berryBOT
Result:
43.6
so you need to attend 44 classes or more
neon willow
bruh so i need to attend all of them to get 95%
amber birch
bruh so i need to attend all of them to get 95%
not even actually
even if you attended all of them you would not get 95% attendance
neon willow
why
amber birch
,calc (344 + 43)/(365 + 43)
elfin berryBOT
Result:
0.94852941176471
your percentage is still lower than 95%
amber birch
yeah I made the same mistake at uni
Canvas the online platform miscalculated the predicted grade when I didn't submit an assignment
neon willow
,calc 0.99 *408
elfin berryBOT
Result:
403.92
wow, so you can only skip 4 classes to have 99% attendance
thats sooo few
its either way not the actual attendanec
94% is if we count the sick and free days
i have 100% meaning i didnt skip one class
but 94% is for all sick days + approve abscence
@amber birch do u kbnow what i mean
amber birch
unlucky
amber birch
but 94% is for all sick days + approve abscence
wait so the 95% includes sick days and approved absences?
or it doesn't
neon willow
yes
neon willow
that 6% is how much i didnt attend becsuse of sickness and free days
amber birch
that 6% is how much i didnt attend becsuse of sickness and free days
so is your school counting that in the 95%
neon willow
i have 100%, meaning i didnt skip any class
94% because i went sick and free days
neon willow
ikr
i had 100% in sick approved in first half of the semester
but then i had to go to the capital city
do u also use canvas??? @amber birch
well this is inna
amber birch
do u also use canvas??? <@1151031274413228043>
yes
neon willow
hiow does it look like
amber birch
I don't care honestly
neon willow
@amber birch Can you check my homework?
One equation.
Cause when I was here.
A person told me an answer
And chatgpt too (the same answer as him)
However my answer was different.
Can you take 7 mins?
amber birch
Can you take 7 mins?
can you just post your question in a new help channel
someone else will answer don't worry
prime ivy
marsh citrusBOT
marsh citrusBOT
Available help channel!
gaunt gate
translation: does exist a number n divisible by 103 such that happens?
gaunt gate
idk if it's right but i found that if it's the case (exists such n multiple of 103), then n should be multiple of 51 by fermat little theorem and then n should be multiple of 4? and then it's absurd because LHS is gonna be divisible by 4 so not congruent to 2 mod 4
<@&286206848099549185>
gaunt gate
did you find the same?
marsh citrusBOT
@gaunt gate Has your question been resolved?
marsh citrusBOT
@gaunt gate Has your question been resolved?
ruby mulch
Yes, I found the same.
narrow oak
translation: does exist a number n divisible by 103 such that happens?
is n=51 ?
oh it's mod n, i'm sry it's not correct
marsh citrusBOT
marsh citrusBOT
Available help channel!
inland patio
So I'm curious how does the substitution work here
marsh citrusBOT
So I'm curious how does the substitution work here
inland patio
So, du is 2xdx, so dx is du/2x?
Or just du/2
Like, I wonder what happened with the x in the du sub and why can't I write it if du is 2xdx strictly, it feels and it is right, but I'm not sure how
strong dagger
So, du is 2xdx, so dx is du/2x?
yeah but you really want du/2 = xdx
because that means you can now replace your xdx in your problem with du/2
and then you can factor out the 1/2
strong dagger
yeah
strong dagger
you too
inland patio
.close
marsh citrusBOT
marsh citrusBOT
Available help channel!
arctic flame
Hi.
arctic flame
How are you? @stark sandal
arctic flame
Is Sin and Cos always <1?
elfin berryBOT
Percy
arctic flame
whats < and _
stark sandal
,wolf leq meaning
arctic flame
what
stark sandal
ok fuck
it just means less than or equal to
how did you get into trig without knowing math notation
arctic flame
so sin and cos are 1 or less?
rocky lark
arctic flame
uh yesss
so theyre 1 or 0,9... 0,8 etcc
the height of triangle is always 90 degrees? @stark sandal
hollow snow
Both sin and cos, can be any number between -1 and 1 including -1 and 1
[-1,1] in simple terms
hollow snow
Well tan is just sin/cos
hollow snow
the height of triangle is always 90 degrees? @Percy
Degree are for angles
Right side triangles always have 90 degree angle
marsh citrusBOT
marsh citrusBOT
Available help channel!
dim wasp
graphing sin(e^x)
marsh citrusBOT
graphing sin(e^x)
proud ice
approach what? What are you trying to do?