#geometry-and-trigonometry
1 messages · Page 36 of 1
how do i know which number goes first in an inverse trigonometric function?
Wdym? Also w pfp
depends on the problem
@jaunty cradle hey, have you solved this question yet?
@regal phoenix no but i need help with another dm me
i was thinking if these angle bisectors form two parallelograms
if they do, we already know the lenght of the two legs of the trapezoid
13 and 15
what are the answers?
Just saw this sorry you can send me an idea if you want
If you’ve got a right angle triangle and two side lengths.
how do i use difference of squares when dealing with radicals
Just wondering, is that 73 and 75 or 13 and 15?
when writing the cos, sin, etc for a coterminal angle that is negative, do i write is as the negative or where the angle is on the unit circle
ex:
do i write
sin -pi/2 =
or
sin 3pi/2 =
yo can someone help me with math
idk if i can help but i can try
So 8x + 11 degrees should be 107.
it was 12
nice
if you're refering to the image i sent, 13 and 15 
Thx 🙂 ill try to figure it out
hello i need help with a proof
P1 = (x1, y1) and P2 = (x2, y2) such that y > 0 and x1 < x2. C is a circle that contains the points P1 and P2, and is tangent to the x-axis at the point (x3, 0). Prove that the condition x1< x3< x2 cannot always be fulfilled for a circle C given any two points (x1, y1) and (x2, y2).
anyone has some intuition as to where to start?
In triangle ABC, ∠C is an acute angle m∠C = 2m∠B. AD ⊥ BC.
Prove that AC = BD − DC can we solve this question other than using trigono
idk if that helps
In Fig is the centre of a circle of radius 5 cm, T is a point such that OT = 13 cm and OT intersects the circle at E. If AB is the tangent to the circle at E, find the length of AB
can some one help me
what have you done so far?
this picture is discrimination against darkmode users
please upload one with a white background
I too solved a similar problem,
There are actually two ways of solving it.
- Proving Similarity of triangles and then solving it
- Deriving 2 equations using pythagoras theorem and then solving it
split x sin³θ into x sin θ sin²θ
then replace the x sin θ with y cos θ
this allows you to simplify the first equation down to y = ||sin θ||
then with that, use the second equation to get x = ||cos θ||
from this you can see that x² + y² = 1
Can I ask a question real quick?
Is Ptutagoras Teorem Geometry
oh that was a stupid question
ofc its Geometry
srry
I’m having a really bad brain fart, how do I go from step 1 > step 2
first of all
no reason to factor like that
pull out an 5^x term
and u get 5^x(5 + 1)
the reason u can do this is because of exponent laws
do u remember what happens with exponents when u divide
Subtract
I’m still not understanding, when I pull out the the 5^x it divides with both and I am left with 5^x(1 + 1) what am I doing wrong?
OH I’m so stupid, ty sm now I see what you’re saying @maiden brook
Sorry another one, does anyone know how to simplify this?
factor
I can take out a 2 from the top, and difference of squares on the bottom, but how do I proceed further
Idk that’s where I’m stuck, Ifactored out a 2, I don’t know what’s next
do u know how to factor quadratics?
Like simple and tricky tris?
huh?
If you’re talking about factoring trinomials than yeah I do know how
x^2 + 4x + 3 is a trinomial though?
and x^4 - 4x - 1 = 0 is also a trinomial on the left side
thats a lot harder to find the solutions to though
in general, its not usually helpful to think about how many terms there are
but anyway
do u know how to factor this?
factoring trinomials is part of ALGEBRA 1
as well as binomials and polynomials
that’s not true
Some trinomials of higher degree are much harder to factor
same with polynomials
the basic trinomials like the one he asked are from algebra 1
thats when you are introduced to them
yeah I asked him if u know how to factor but he didn’t respond
@eager warren can you show the entire question from part a onwards?
it looks like we're missing some context here about the rectangular tank.
sure
that... is categorically not what i asked for
i wanted the question from the start, from part a onwards.
and part b?
is the one with the cylinder
so then you've done that, yes?
you know how much water is in the tank after we've poured one cylindrical bucketload in
@eager warren ?
❌ imma do it rn
I think its 56,400cm³
for the cylinder question
correct answer, shoddy wording
but ok yeah
that is how much water is there now
are you now able to do part c?
you'd be surprised at how often this issue comes up
any tips im started trig
Hey everyone
Today was my last day in grade 10 math, I passed with a 98 and I really find an interest in the subject. I was wondering if anyone would be able to help teach me some things with respect to functions and/or trig to prepare myself for next year, as I know quite literally everyone here is more knowledgeable than I am lol
become friends with the "unit circle".
does (cos t, sin t) represent the coordinates of that point?
yes, the radius of the circle is 1... (the word "unit" sometimes means "1").
there are lots of ways to think about trig, but this is one I like very much
Okk thank you so much
If the radius of the circle was 2, would this change the coordinate equation to (2cos t, 2sin t)
?
I'm not sure off the top of my head, lets check!
well the equation of a circle is:
( x - h )^2 + ( y - k )^2 = r^2; where x and y are the point (x,y) on the circle, h and k are the x and y coordinates of the center of circle), and r is the radius
since we wisely put our circle on the origin, h=0 and k=0 leaving just:
x^2 + y^2 = r^2
I think we should plug your suggested coordinates in (2cos t, 2sin t)
(2cos(t))^2 + (2cos(t))^2 = (2)^2
the right hand side is just 4 (the square of the radius of 2), now I think we plug in the values of a well known angle on the left hand side to see if we get 4 (a circle with radius 2).
I'm going to choose pi/4 (45 degrees), the sine and cosine of pi/4 = 1/sqrt(2)
,ask (2/sqrt(2))^2 + (2/sqrt(2))^2 = (2)^2
seems like you nailed it
hey thank you so much man, even just this concept of the unti circle is super helpful and you've explained it beautifully. I apologize for the late response also, I'm just coming home from vball practice
Do you mind if I add you if I have any other math-related questions?
I remember this now actually from earlier in the semester, thank you for the refresher because I had totally forgotten
sure np
Thank you so much I really appreciate the help
the subject can be confusing, practice helps
just find the volume of cylinder using the formula pirsquareh and add that to the volume of cuboid , you get the total volume then
can you help with this?
first u need to find the coordinates of b using midpoint formula
how if I don’t have Y
but you have A and T
that is enough
it is given that A is the midpoint of seg TB
so u get coordinates of B as -8,-2
Then what
then do midpoint formula again
for seg ty
B is the midpoint over here and we know the coordinates of T
Find y using that
is the answer -18,-9
my pleasure
I HAVE A HARD GEOMETRY TEST AFTER 2 HRS
gl
i used to be scared of geometry
geometry is kinda fun
i get your point
i get f'ed
when i see
that
not
like co-ordinate
geometry
or trigono
but
smay if you find geometry to be amusing and intriguing you might need to change your mind 😭
its not fun i changed my mind
XD
hello, i am going to ask y’all: as students who are taking geometry, can you comment about what you like/don’t like about two-column proofs? my friends are going to teach geometry next year and we had a big argument about this so we want real student perspective
whats ur age cuh
no
no as in you don’t like them? why?
geometry just sucks in general
for me at least
agreed
ive been doing circle theorems for 3 months
algebra is straight forward
i deeply regret
tangent secant thm
did u study that
yes
this aint nothing 🥶 💯
what is 9 point circle
bet
ye
u'll help me?
no
ye
💀
It’s against rules to help someone cheat.
ye
!nosols
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
I forgot the other command
It is I, itadori. Gimme your money.
This is a robbery.
XD
shut up fam you aint NOTHING
🥶💀
im ur dad
ok that was cringe
nvm
Very
start by finding all the angles. that will help a lot
well do you know the law of cosines?
yes
this shit hits different
You can easily get BP as BC given
Apply Sine law in Tr. APB
And find BP
Because we can see cosine at B would involve AC
And only thing stopping us from applying formula is BP
So we just find it
Then cosB=.../...
!nosols
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
why urgent?
probably because it’s either not homework or they are asking last minute
(Please don't give out answers in this server)
ok
How can you calculate the radius?
I think we need a little more information
there are no other information
its a half-circle
Is the 15 cm segment perpendicular to the diameter
yes
Ok
Call the center of the circle O, call the intersection of the 15 cm segment and the diameter A and the intersection of the 15 cm segment and the circle B
Consider triangle AOB
took a bit long but I could get it thanks
How could I solve where tanx = 1 on the interval 0 to 2pi?
Or in general how could solve where tanx equal anything over some interval
Confused on how I should approach it
In which case find PB using pyhthag or law of cosines, then find PA using law of cosines, find PC using pythag or law of cosines, and AC you can find with law of cosines.
<@&268886789983436800>
Ty mods
yeah there was an aime problem pretty similar to this
I’ve seen a few AIME problems, some of them look fine others look absolutely terrible.
absolutely terrible in terms of what
I remember one that gave a complex number with some restrictions. I can’t remember what they exactly.
2023 test 1 q15
- YES THEY ARE SIMILAR, ABC SIMILAR TO DEF by AA
- NO THEY ARE NOT SIMILAR
- THEY ARE SIMILAR BY SAS , TRIANGLE CBD SIMILAR TO EBA
!nosols
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
what is the distinction between a bisector of an angle and an angle bisector of a triangle?
what?
difference of:
bisector of an angle
and
bisector of a triangle
what even is a bisector of a triangle
you mean a line that splits a triangle into 2 other equal triangles?
both are angle bisectors
bisector of an angle splits that angle into 2 other equal angles
angle bisector of a triangle splits that angle into 2 other equal angles, and has a special property
they are the same tbh
same thing
a triangle doesn't need to exist to have a bisector of an angle
Do you know formula for a circle in cartesian coordinates, If yes, then it's easy calculation
Or you can just use pythagorean theorem
Accualy two methods are equal
There’s like an IMO question about this
how do i find this
lemme list my steps below
i converted the expression above into polar form and used de moivres theorem
then i just computed 2(cos(2011*pi/6))
which got me -sqrt(3)
which is marked as wrong
the magnitude is 2^2011, not just 2
I don't know where else to post this, but consider a closed, non-empty set C that has a supporting hyperplane at each point of its boundary. Then the set is convex. I'm very new to this, and to prove this I believe the argument goes by contradiction. Assume C is not convex. Then a line segment between p,q in C must leave the set somewhere on the way. In particular, the line segment must go through a point where there's a hyperplane separating p and q. Now, apparently this is a contradiction, but I don't understand what it contradicts?
oh shoot i forgot about that
wait how do i evaluate 2^2011
the calculator wont do i
it
yeah cause it's too large
you just leave it as is
except maybe for some simplifications further down the line
@twin crag can you show what the input box looks like
anyone know how to get a and β?
Inverse trigonometric functions
David K.
David K.
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
$\fbox{Improved}$ \
$x = \sqrt{9^2+5^2}$ \
$ x \approx 10.3$
$$$$
So
$$\alpha = sin^-1(\frac{9}{10.3})$$
$$\alpha \approx 60.9^{\circ}$$
And $\beta$ is;
$$\beta \approx 180^{\circ} - (90^{\circ} + 60.9^{\circ})$$
$$\beta \approx 29.9^{\circ}$$
David K.
I have one
anyone know all the steps on finding the orthocenter on the graph and just from the points
what does "supporting hyperplane" mean? if it means the entire set lies on the same side of the boundary, then you have your contradiction as p and q are on different sides of the hyperplane
Have you seen this?
Orthocenter of a triangle is the point of intersection where all three altitudes of a triangle meet. Learn more about the orthocenter of a triangle, its properties, formula along with solving a few examples.
I believe that’s the contradiction they meant. Thanks!
I need help asp plz yall hear my cries pf help😭😭😭
From 8 to 11
I resend it bc the numbers changed
,rccw
There
,rccw
I dont wanr to flip it i want a answer lamo
!noans
The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.
!noans
The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.
why are these wrong
like 1/sin(43)=1.4662791856 which is 1.4663 rounded to four decimal places which is what i typed yet it is wrong
and for the second one we have x=-12 y=9 and r=15
so sine would be 9/15 or 3/5 and cos would be -12/15 or -4/5 and the inverses of those
it told me to simplify so what is wrong
,calc 1/sin(43pi/180)
Result:
1.4662791856396

yeah hm strange
all of the answers you put in seem correct to me
@elder pivot i'd imagine this is a bug with the question system
okay
i was assuming that because i followed the instructions exactly and compared my work to homework and could not find any errors but i didn’t want to just assume I was right
How do I simplify this (prove the identify
Express everything in terms of sines and cosines
How do I do this
if you're trying to prove the identity, i would use the pythagorean identity
whats a calculator ready equation?
i think that means u can use a calculator on the problem?
simplify LHS and RHS into Basic form
Yep I got it already but thx
when you simplify RHS also you get sin^4X/cos^2X
fine
I think you are supposed to use Exterior angle property
4x-4 = 60 + 2x
x = 32
is the answer 32?
Tell whether the information in the diagram allows you to conclude that point P
lies on the perpendicular bisector of LM
Explain your reasoning.
Do you know about the perpendicular bisector theorem and its converse
Do you know the Pythagorean identities?
If anyone has seen a question which looks like this (there also info about it above in the question.) Please tell me I think its 11marks with 3 parts.
real
do you have any more context?
like, what type of exam? does it have precalc on it (i assume so)? what else is going to be on it? circle theorems? triangle stuff?
also this isnt a place for solutions, although i dont think it breaks any rules
I think that it's a-level. I think it was based on chords and tangents relating to circle's. I don't need the solution just the question.
Each of the lines were tangents of the circle but I'm not sure on much else just that there is a paragraph of info about it before the question but I'm not sure what info was giving. I think the center point of the circle was labeled A but can't be 100% certain
I need help with this entire page. I dont understand
Use the basic proportionality theorem
Does anyone have old geometry notes/hw they don't use anymore
I'm self studying geometry and just writing notes and khan academy doesn't feel like enough
what is angle of depression and angle of elevation? 😭😭 I’m confused
it's the angle between the horizontal and your line of sight when you are looking at an object
if you're looking up, it's the angle of elevation; down, and it's the angle of depression
does that answer your question? @vocal bison
yes thanks 😄
I'm reading through a proof in convex analysis that every closed set in R^n with the nearest point property is convex. The proof goes by contradiction and assumes the set in question, which I denote A, to not be convex. They claim there exists a line segment between two points x,y whose intersection with A only contains the endpoints (see picture). Then they claim there exists a ball centered at (x+y)/2 with a radius small enough whose disjoint from A. I don't quite understand where (x+y)/2 in my sketch would be located. Depending on where I choose the origin, might not (x+y)/2 actually be in the set A?
(x+y)/2 is halfway between x and y
yeah, you're right 😄 thank you
are you guys familiar w always sometimes or never questions
i need help on those w like quadrilaterals
to get good at them, you have to know the properties of each type of quadrilateral
okay
how is a rectangle always a square but a square is not always a rectsngle
it it because a square has one characteristic of a rectangle but a rectangle doesnt have all the characteristics of a squsre
oh my god
Try using midsegment theorem for 24-26
Can someone find a worksheet that uses exterior angle theorem?
Cant seem to find any worksheet
What is the exterior angle theorem
measure of an angle is equal to the sum of 2 interior angles
hmmm
like u wanna know why all angles of the triangle add up to 180?
dayum i never asked myself that
Can I ask what grade youre in
well
according to the American system
i think i'd be grade 11 rn
but I dont live in the US so we study some different thingies
you should know exterior angle theorem though...
some basic stuff before moving into trignometry
well I alrdy did trigonometry
I still haven't rly dived into its relation with complex numbers
i think only the polar form covers that
it is commonly assumed that the converse of a statement must be true if the original is
but u needa prove the converse separately
for example
my brain 😍
If i live in California, I live in America obviously not the same as If I live in America I live in California
ooooh true
wait
but wouldnt that mean a square is always a rectangle but a rectangle isnt always a square?
yes and thats correct
so it's basically sum of exterior angles adds up to 180?
pretty much
no ur statement is correctly
yayy
i mean i knew that
but i didnt know it had a "theorem" for it
squares have four right angles, so it is always a rectangle, but a rectangle doesnt necessarily have four equal sides so its not necessarily a square
oooooooh true
Hello! I am working with Triangles.
I need to find length X,
Off the bat I'm seeing that $Tan(36) = 12/x$
Therefor $x = 12/tan(36)$
The website I'm working with doesn't like that answer.
are there special angles associated with a 36 degree angle that I am missing to find an exact answer?
Going through the long way and finding $Sin(36) =12/B$ is $12/sin(36) = B$
Then $Cos(36) = x/(12/sin(36)$ becoming $12Cos(36)/Sin(36)$
Jimmy'
can you show what the answer box looks like? @opaque frigate
maybe you're expected to give a decimal approximation instead...?
did it say "round your answer to 3 decimal places" or sth
I don't see that anywhere, no.
I will try inputting the decimal
Okay, I found my issue.
I had tried inputting the decimal my calculator gave me, and it hadn't worked.
I googled a right triangle calculator, inputting my numbers, and it gave a different decimal. and that one work.
I had my Calc set to radians, not degrees 😆 😭
Let △ABC, M ∈ (AB),
AM/AB = 2/7
Knowing that MN ∥ BC, NP ∥ AB, P Q ∥ AC, QR ∥ BC,
RS ∥ AB, N, R ∈ (AC), P, S ∈ (BC), Q ∈ (AB).
a) Calculate AN/NC, CP/PB, BQ/AQ.
b) Show that AM = BQ.
c) Show that SM ∥ AC
hi can you take a picture a little more clear for that I understand better ?
hello
Nobody can help you if you don't post the really hard maths problem
can you not
and tan theta= m^2+2mn/2mn+2n^2
prove it
and the second one is, if cos theta - sin theta = underrot 2 sin theta
and cos theta +sin theta= underoot 2 cos theta
prove it
@sturdy stone
and dead
@twin delta
@peak fossil
Please do not ping individual helpers unprompted.
damn i have an admission test for imperial and i have to revise a lot of stuff o.o panic
how many trig identity there are ???
check the pinned image in the channel
how can I find #21
have you learned Pythagorean theorem yet
I thought that was for area
im struggling on perimeter
no its for the hypotenuse or the hypotenuse or the other side you don't have
so your good to finnesh it?
yes
alright great
guys
does anyone have tips for geo like how to study
i genuinly think i got a 42 on my midterm so i acc need to lock in
but idk how
khan academy 100% just in general
if you jump strait to the unit test you can see what you need to learn still and go there
@flint ravine can you also help me with this real quick?:
A rectangle of 360 square yards is 10 times as long as it is wide. Find its leg and width
yeah one sec
360 yards a in area?
?
Hello guys
Can anyone explain why cos(90-x) = sin x and cos(90 + x) = sin x? I'm really struggling to understand it.
write out what sides' ratio is cos(90°-x)
observe that it is the ratio of the same sides as for sin(x)
cos(90°+x) = **-**sin(x) though, and that takes the unit circle to explain.
or angle-sum identities maybe.
do uk cos(A+B)
I got the first part about cos(90-x), i really appreciate your answer, but what about cos(90+x)? You said it takes unit circle to explain, i am familiar with unit circle and basic concepts, can you explain why cos(90+x) = -sin(x)
are you familiar with cos(x+y) = cos(x)cos(y) - sin(x)sin(y)
Yes, i am
made a chicken on a graphing calculator
oops the second image is zoomed in at 1st glance
Big triangle is equilateral triangle. Little triangle is equilateral triangle. Area of little triangle is 1. Need to find the area of the grey triangle. Can someone give me an idea how to deal with it?
I thought about Pick's theorem, but as I remember it works only if your plane is cut into the squares
and here we have equilateral triangles
probably it still can work, but I dont know how to use it here
oh, I probably see
but
how to deat with this guys?
I mean
Maybe i should find the sides?
I dont understand how should I do this
AXC is a single small triangle in which one side has been stretched by 5 and the other by 3
that makes some sence
woah
Now your explanation makes much more sense. I took a rest, went for a walk and now I solved it! Thank you sooo much!
can someone please tell me what this means
idk how to set this bloody question up
i spent 3 hours trying this one question
because i can't wrap my head around how to draw it
could someone please help me draw it?
could you share with us how you did it?
yeah
how did you find the area of those smaller triangles?
they are given
Area of little triangle is 1
i meant axc,aby and bcz
Umatriz
The formula for the area of the triangle is $$S=\frac{1}{2}ab*sin60\degree$$
Umatriz
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
oh! i didn't knew this..
Its for this case
i see.
thanks for your time.
Help
ok i guess this is a better place
same question: have you made any progress so far? @cerulean turtle
!status
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
ok so your handwriting just gets worse from line to line there
but anyway i think this is not a good route overall
better would probably be to write $\csc(\theta) + \cos(\theta)$ as $\frac{\cos(\theta)\sin(\theta) + 1}{\sin(\theta)}$, and then write out what $\frac{x^2+1}{x^2-1}$ will be based on that, and hope it simplifies down to $\frac{1}{\cos(\theta)}$
アンナ

that is the first step of my suggestion
did you follow it through any further?
i mean, i can't force you to do it. if you really hate my suggestion, feel free to throw it into the trash.
Lemme try
Can someone help me with this: 2(tanx-1) + 3 = tanx + 1 + √3
This is probably easy for y'all but I suck at maths
!status
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
was asking sausageman.
you had gone off to try my suggestion, presumably.
and by the way, it looks like the problem asked you to prove a false statement.
(x^2 + 1)/(x^2 - 1) doesn't actually simplify down to 1/cos(θ)
@regal ferry you still there?
Ooo sorry I ended up opening a help channel 😭
k
I've reached tanx=√3
ok, and can you tell what special angle has tan equal to sqrt(3)?
yes, except it doesn't.
60, or π/3. So after that I draw the circle and notice that every 180º I get the same result of √3 so it means the final result is π/3 + kπ
yes correct
@cerulean turtle i honestly do not understand why you are acting so hostile to me right now. it is as if i said something that is so deeply offensive it cuts to your v.ery soul...
Hip hip hurray! (I'm 17 and I've been doing trig for months why do I suck so bad
)
Since when did I become hostile huhu🥹
your barrage of
in response and reaction to my messages.
that's how it comes across. as hostility.
is not a "sad" emoji
it's a "you just said some bullshit and i'm pointing that out to you" emoji.
How do I calculate the abc triangle, I figured out the bottom but I don’t k ow how to continue
do some angle chasing
its not that technical
you just label one angle x
and then try to figure out what the other angles are in terms of x
my tip is to label angleCAB x, then you can deduce what angle CBA is, and also the size of the two angles at C
then you will (hopefully) see something important about the triangles in the diagram
@naive dagger have you got it yet?
yeah ty
or i got 1745cm2 but the answer was 1733cm2 but thats probably just bcz of the way i rounded it up
Someone help please I need to review for a chapter test tmmrow 🙏 #1202775077729345586
how do i solve this?
How can I prove that RA is 6 root 2
tan(kx) tan(kT) = 0, where T is the fundamental period.
why does this become
tan(kT) = 0, can't tan(kx) = 0 ?
Is it possible to easily find the full area when u know some of the area?
,rccw
@waxen moss i don't see what your question has to do w/ the problem
they give you the area of the full circle
Yea I just asked Someone to translate and realized
translate into what language?
Help
I dont understand how to do this question
in this book before this ques there weren't really trig equations
and this is asking no. of rroots
can you show part a of the same question?
maybe it sheds some light
@tough galleon
Oooh I saw this on YouTube
I still remember one answer was the golden ratio
Idk if there were two or only one
the fraction a circular sector takes of its circle is the angle is creates/360
hello, i will keep it short and simple my 10th grade starts in march and my finals end on 19th. My main goal this year is to complete grade 11th trigonometry, any suggestions how should I proceed with starting from some basics, and what all topics can I cover of grade 11th which are similar to grade 10th??
oh ye btw i didnt realize before
it asked to sketch both graphs
and then i realized the equation is basically the 2 functions to be sketched
so thats where we have to fund the intersections and tell the roots
Because mathway isn't 100% perfect all the time
wait nvmd, the question asked me to prove that the 1-tan^2(x) thing is equal to 1-2sin^2(x) not what I have now
guys how to find sin cos and tan and why do i need it to calculate something
you may be able to split the 1-tan(x)^2 into (1-tan(x))(1+tan(x)) by factoring
but idk if that will do anything
oh yeah then it will cancel out
nope still does the same thing
$\frac{1-\tan^2(x)}{1/\cos^2(x)} = \paren{1 - \tan^2(x)} \cdot \cos^2(x) \neq 1 - \tan^2(x) \cos^2(x)$
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you didn't rewrite the fraction properly
i mean exactly what i said. i just told you where you went wrong and how to fix it.
you rewrote $\frac{1 - \tan^2(x)}{1/\cos^2(x)}$ as $1 - \paren{\tan^2(x) \cos^2(x)}$, which is incorrect.
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Dividing by secant is just like multiplying by cosine
oh yeah I didn't multiply 1 by cos
use a trig identity on the cosine squared
omg
it'll turn into 1 - sin squared
thank you!!!
yuh
you can and should use the symbol ^ for exponents.
so sin^2(x)
etc.
What am I meant to do with tan(x) = 4/3
Indonesia
good question, what are you meant to do with it?
!xy
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
Find x using unit circle theorem
using what
Radians
!xy
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
!status
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
well
i dont really know where to begin
my only idea is
arcsin(-0.7)=theta
well it says find the sum of all the possible angle values right
so arcsin of -.7 is uh
-0.775397497 radians
which is -44.427004 degrees
and since sin can only be negative in quadrants 3 and 4
we hv to find angles in those quadrants with reference angles of 44.427 degrees
so i got 315.57
and 224.43
but it says in radians so that would be
5.50773552 + 3.91704244 = sum of values of theta
um so i got 9.42477796 radians lmk if that works
Hello
idk if this have somthing in relation with geometry
but i think yes
It´s about phi
can smebody help me with this?
If i remember right, this have relation with the "Divine propotion"
(srry if my english isn't good, i speak spanish)
So (L - 2) / L = 2 / (L - 2)
so you do not even remember your own problem.
with what
have you made a diagram?
I have but i dont sure it’s right or not
well you will have to show your diagram to us
Oh kekw
i'm supposed to find the equation for this graph in the form y=acos(bx-c)
i got y=3cos(4x-c)
and i'm supposed to find the smallest value of c, how do i do this?
I suppose you can start by taking some points of the graph and resolving the equation y=3cos(4x-c) to find some values of c?
not sure tho
oh yeah that works ty
c=pi/2
wait do u know how to convert this into an integer
i dont think i can put pi/2 for c
but try for different x
why couldn't you?
i still get pi/2 for each value of x where y=0
oh nvm you can
i was just assuming c needs to be an integer
wait but the amplitude and period of the function are both correct right
that I don't know
the amplitude yes
the period I don't know
but you can just verify on your calculator and see if you're right or not
wait wdym
oh i graph it
yeah its correct
Yeah, ,ty i solved it yesterday in the night
it´s L=3±√ 5
haha
Help pls idk how to set this up
Basically it's two different triangles, from the boats, to the bottom of the lighthouse, and to the top of the lighthouse.
You know one angle is 90 degrees
And you know the angles from the top of the lighthouse to the boats for each triangle
And you know the height of the skyscraper
Basically you know two angles and the included side for both triangles
Use trigonometry to find the distance from the boats to the light house.
From there you should be able to solve it.
oh okay thanks
can someone please help me derive those formulas?
from the basic trig identities
just to make sure I don't forget them on the exam
you want to derivate the quotients with tan?
and see if they're equal to -sin and cos?
well, I want to be able to derive them from scratch
so
and not just check if those equalities are equal or not (which they obv are)
but what's the formula haha
(vu' - uv')/v^2
probably this way
hm, tbh I don't see where u are heading
why would u want to differentiate those fractions
or u want to prove them with calc? 🙂
like to show the derivative is zero?
no
to show the derivative is -sin and the other cos
I thought that's what you wanted to do
to show the quotients were equal to cos and sin
yes, but why would u need derivatives for that 🙂
hmmm it wouldn't even be a good way of thinking
what did you want to do?
I want to derive those formulas, not differentiate them 🙂
rediscover two of those formulas only using trigonometry
Use trig identities.
First decide which side you want to manipulate.
(I would chose the RHS).
do you guys think csc(x) and sec(x) are unnecessary to know and should just be written as 1/sin(x) or 1/cos(x)
Knowing that sin alpha = - (4/5) , 3pi / 2 < a < 2 pi
a) represent the angle and the values of sin alpha, cos alpha, tan alpha and the circumpherence
b) calculate the incognito values from the other 2 functions
??? I need help with second b question
i would say it is necessary if you're talking about the fundamental ratios in a triangle
is incognito here meaning undefinied values?
no im just talking about notation
in terms of notation, then no, it doesn't matter
I don't understand b question
$\sin{\alpha} = - \frac{4}{5}$\$\frac{3\pi}{2}< \alpha < 2 \pi$
ursmomsfavnotification
let me help, one sec
Knowing that sin alpha = - (4/5) , 3pi / 2 < a(lpha) < 2 pi
a) represent the angle and the values of sin alpha, cos alpha, tan alpha and the circumpherence
b) calculate the incognito values from the other 2 functions
im sort of uncertain with what it means by incognito values though
I think incognito mean undefined values now that I think about it
that's what i was assuming
do you think you can help me?
sorry im back
okayy
but i believe it might involve finding the range of alpha values
hii @spare haven, do you think you can help me?
ohh okay, any more tips or no
not sure because the question is a little vague
okayy, if you think of anything new that might help me, it would be really appreciated!
just ping me if you think of any new tips yk
i will, sorry about that
here's an example involving sine
you can do the same thing with cosine, best to transform it using cos 2x = 2cos² x - 1
it's okayy, thanks for trying to help anyways
sorry, nope, i don't know what b) means either
lol it's okay
fyi it's seen as bad form in this server to ping people for help
outside of rules in #❓how-to-get-help i mean
ohh my bad
Show that the parabola y²=4x and the circle 4x²+4y²-25+y+3=0 have a common point of contact. Find the tangent at this point
Help....
wrong channel
this is literally geo dummy
how is that geo
oh truth and logic stuff i guesssss?
but it’s not explicitly geo, might be better to put it in #discrete-math
ok
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2. I have begun but got stuck midway.
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analytic geometry
that is not analytic geo 😭😭😭 that is just propositional logic
“analytic” geometry is coordinate geometry, I don’t see any coordinates in use there
it's not geometry, but geometry class is when formal logic is often taught in high schools
well said high schools seem way better than mine lmao
we only discussed the most basic case of single direction conditionals
Hey y’all can anyone help me with this problem? I need to calculate the volume. But i don’t understand the ratio stuff
i dont understand the drawing
is that even 2d or 3d
3d it's about a ramp
oof
it's basically asking for the volume (cubic meters) of the ramp
i am not pretty sure about the ratio but i assume 1:4 refers to the lengths of the rectangle for example
the rectangle's width is 4.20 meters them the length should be four times as much
I was doing pair of straight lines from analytic geometry.
Is it possible to be abc+2fgh-af^2-bg^2-ch^2 =0
And h^2 -ab<0 in General equation of second degree?
hi
if a math questions states that vectors C = A + B, and that vector C is in the -y direction with a magnitude of 12. Does that mean that vector C is pointing somewhere in quadrants III / IV ? Or does it mean that vector C is pointing straight down -y and x = 0?
Hi
Can someone help?
I need to find the value of Y
is for tomorrow and I just don't undestand
Is there a way to solve this without graphing? A shortcut like how
- If the Line of Reflection = x-axis, just change the sign of the Point's y-value
- If the Line of Reflection = y-axis, just change the sign of the Point's x-value
I feel like there is, I have a strong feeling that there is, I just can't figure it out rn
translate everything so the line of reflection is one of the axes
flip sign
then translate back
so for the above you translate everything up 1
so now you're reflecting R'(-3,-4), N'(-4,1), V'(-2,0), E'(0,-3) over the line y=0
reflect
then translate the points back down 1
in fact, you can sorta generalize this process to reflecting over any line, not just the horizontal/vertical ones
can someone help me with geometry proofs pls
i have the stesps i just need the correct order
it is not geometry but ig
it might instead help to write the whole thing as a “flowchart”
(two column proofs are fucking stupid, nobody actually writes proofs like that)
welcome to geometry and trigonometry ( 💀 )
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Please help me guys
can you make another right triangle that’ll be useful?
Wdym?
look at the diagram
are there any lines you can draw in to form a useful right triangle?
Instead of a radius of 4 cm, try thinking of the diameter of 8 cm
As it touches the ground
15 + 8 to get a hypotenuse of 17
But I’m not too sure what do do after that
you already have all the information you need
draw a right triangle in the diagram that includes the lengths you know
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
does anyone know how to solve this
