#geometry-and-trigonometry
1 messages · Page 278 of 1
Id prefer bigideasmath as review but theres slader that people can use to find answers
Oh nvm though my teacher got back to me.
@latent iron
Hello ryan. What do you think of about the diameter of the tire? What does it relate to?
Okay.
So can you guess it? What does it relate to?
Uh.
This nail moving up and down
yeah, i got that
i just don't get how we would figure out the diameter cause wouldn't it be consistent
so would it be +25 ?
So, the distance between the topmost point and the bottommost point will be the diameter
The vertical distance
Yep, then if you draw it out, it will definitely help ya
where do i switch it
You're welcome!
@dusky surge
A negative cosine equation?
That means it's something like -acos (bx+c)+d
Let's start from reading some important information from the graph
Like, the amplitude, the period, the middle point, and the shift of the cosine
Alright
doesn't look like a cosine
First one, what is the amplitude of this graph
"negative cose equation"?
Ryan, got the amplitude?
one sec
Sure, take your time.
its 3 right
We are comparing
Both that drawn function and a negative cosine function
Do that we can make a "negative cose equation" for the graph
Ouch XD
Seems that it is not working in degrees.
I check in radians it worked, but we are working on degrees right?
yes
Hmmm..... Do you know how to use geogebra?
this teaches you how to identify the amplitude, midline, period and phase shift
@upper karma i know how to figure them out there isn't a full graph given tho
@dusky surge no idea what that is
you don't need a full graph
you can determine it by looking at the first half
or even the first quarter
it's obviously twice as long as half
and 4 times longer than 1/4
if 2.5 is half.... how long do you think is the entire thing?
or if a quarter of the graph is 1.5... how long do you think is the entire thing?
5
I still haven't figured out why desmos' not working in degrees...
What is the answer here?
Sorry, @hearty vault this is channel is currently occupied
What does that mean?
Ryan, try y=cos(360x)
ok
what is the answer? i just need answer
@hearty vault means move to a questions channel
ha ok
For Desmos, you can change it to degrees from the wrench icon
i got that
Yea. Cool
what from this point?
And we don’t hand out answers here
@upper karma I studied this like 4 years ago. I just need answer.
So, now we compare the amplitudes.
Before we got the amplitude 3 and this cos(180x) we have amplitude...2
So it's 1.5 times bigger
No way to verify that. You could be asking for an answer to a test question. Either way, I will not just give you answers.
Then we just multiply it by 1.5 and head on to the next step
Which means we are closer to the answer.
We have y=-1.5cos(180x)
Next is the period.
@hearty vault google "the hardest simple geometry problem"
they gave
Sets out how to solve these two well known geometry problems using only isosceles, equilateral and congruent triangles. For problem #3, which has base angles of 10/70 and 50/30 degrees, see https://www.youtube.com/watch?v=JkfCERNpj-M&t=36s The worksheet can be downloaded a...
Okay. For periods, for longer periods, low the number it is.
6 times is longer
So we divide x by 6
Remember to keep track on our made up function in desmos!
kk
forget desmos
you should be able to determine the amplitude, midline, period and phase shift of any graph
just by looking at it
So we have y=-1.5cos(180x/6)
why -2?
and you think there's a minus sign in front of 2?
mb
you really should go through those lessons on Khan Academy
the guy explains it far better than we could
which video
no... not one video
you can't just cover this stuff with one video
it's multiple videos
no
yea
The diagram is wrong
4/7=x/310u^2
how do you use the angles inside circle theorem to solve this
me?
If you can
it's easy: open up Youtube, search "circle theorems", click the first 2-3 videos
they should cover it pretty well
15sinA+8cosA=8, Find 8sinA+15cosA
@soft gulch what if you replace sinA with, say... x
and cosA with y
?
15x+8y=8
can you solve it then?
@autumn gazelle do you still need help?
I'm trying to find a and theta of this triangle using cosine law but im running into a few problems
I was able to use google to correctly calculate everything, so I know the way I've used the formula isn't wrong.
However, when I run it through a code that I've wrote using the above equations I get stuck on the first a = ~ formula.
gs = a.
And it's giving me 22.13 instead of 27.25.
I've checked my code numerous times but I can't figure out what's wrong with it.
is it something got to do with the sine?
cause I got stuck because of sine ambiguity before
I corrected my code and it's returning even more absurd value.
oh wait
ummm
yeah my bad. it turns out i forgot to square the sine in my code. BUT it's giving me on error on other problems.
Btw this isn't homework. I've been out of hs/uni for a while and it's a personal project to code a aerial/nautical navigation computer.
💩
@acoustic jungle
Find 8sinA -15cosA
15sinA+8cosA=8
I squared both sides and the -240 sinacosa canceled out, giving me +-15
@soft gulch
uhh I found out that it's not a math problem but a programming one.
it's all good now.


Lmao
that looks right
how is that right
(a+b)/(a-b) is not b/-b
it should simplify to cos^2-sin^2 over 1
Could you walk me through how you got that?
oh fuck he's bread now
I was wondering if someone can walk me through how to simplify this equation
I dunno how to simplify (sqrt(3) -1)/(1+sqrt(3))
multiply the top and bottom by 1-sqrt 3
,w (a-b)/(b+a)
Nope
(a+b)/(a-b) is not b/-b
I don't know what that means
@acoustic jungle that's not the same thing as what the problem says
oof
$\frac{\sqrt{3}-1}{1+\sqrt{3}}\times\frac{1-\sqrt{3}}{1-\sqrt{3}}$
AMD:
ooooohhh
I went to Mathway and it showed me how to answer the numerator. I've always had trouble understanding this formula
Just to clarify, So the formula is that you multiply the numerator by (-1) and multiple that by the numerator and the denominator.
Anyone need help?
can someone explain the instructions for me? i dont understand the length part.

does it mean if the answer is (example) 45.7892 will turn to 45.78?
anyone knows how to get the ordered pair?
Dont u just plug -4 into both equations ?
lol
AMD:
How many times in what interval?
A pendulum is swinging back and forth. After t seconds, the horizontal distance from the bob to the place where it was released is given by
thats all it says
Oh thats some crucial info right there
I see its referring to frequency
I dont think pi is the right answer here
so whats the answer
You are trying to find when the function is equal to its own midline
So when H(t)=7
So set the function equal to 7
$7=-7\cos(\frac{\pi}{10}(t-2))+7$
AMD:
Now find two adjacent solutions
Yeah checks out
You should pay me
AMD is already screwing us though with them not supporting b450 for no reason
so do we
Lmao
how to do 1 through 8? these are practice questions
i just need explanation for each with answers
@dark notch https://www.youtube.com/watch?v=MyzGVbCHh5M
Proving that an inscribed angle is half of a central angle that subtends the same arc. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-shapes/v/right-triangles-inscribed-in-circles-proof?utm_source=YT&utm_m...
this is basically all you need to solve all of those
i don’t get these can someone answer for me pls
watch the video
which one don't you understand?
@dark notch
aaaand you're offline
there you go
so C is 90 degrees, since all angles in a triangle must add up to 180, 180 = 90+B which is 32*15'(whats this?)+x, solve for x
x should be angle A
wait oops their message was sent a long time ago
So first of all, you know that in a quadrilateral opposite angles are equal right?
And adjacent are supplementary
If you make Angel CDB An Inscribed Angle you get 80
So you know that Angle CDB = 80 right
Then you set the 2 opposite angles = to each other
80 = 11x + 16
@dark notch You got it?
yes
👍
Wait
@dark notch wait
Wait
WAIT
HELLO
I MESSED UP
I’m sorry
It’s opposite angles are supplementary
Common mistake
Messed them up
In a cyclic quadrilateral, opposite angles are supplementary. If a pair of angles are supplementary, that means they add up to 180 degrees. So if you have any quadrilateral inscribed in a circle, you can use that to help you figure out the angle measures.
80 + 11x + 16 = 180
What is this.
Oh idk
Idk if I’m correct tbh
no i think you are right
sum of opposite angles in a cyclic quadrilateral adds up to 180
He is right.
80 + 11x + 16 = 180
@upper karma angle D is not 80.
unless 160 is referring to the arc NBC. but it looks like it's referring to arc BC.
I guess it has to be referring to arc NBC otherwise I am not sure how to solve it.
everybody right
that guys tag
Why is angle d not 80
If you consider angle d as inscribed angle CDB it would be 80
Ya idk
@dark notch Did it come out as correct?
No. Angle NDC is 80 if 160 is referring to arc NBC. Angle BDC is 80 if 160 is referring to arc BC. But BDC is useless and doesn't provide any information.
Is there anyone that can help me with my geometry hw?
https://media.discordapp.net/attachments/326138757474680852/708818614186410084/image0.png <@&286206848099549185>
someone help
I am also interested in solving this
And I’m curious what the answer actually is
The other guy didn’t get a correct answer anyway either yet
16 what
this image doesnt make sense
11x + 16 degrees would make sense
you just have 16 units
so frustrating
@upper karma what
@upper karma it just has 11x + 16
what does "16" mean
16 what
11x + 16 is referring to the angle
Degrees
?
How do u find what D is
My man that’s what I’ve been saying awhile ago in chat
@acoustic jungle doesn’t agree
Angle D = 80 right
Ik
But my boi @acoustic jungle Disagrees
@upper karma Shall we prove him wrong?
It’s 80 right
It’s not my work
And then u set them = to 180
11x + 16 + 80
= 180
This isn’t my problem
I’m just curious
It’s someone else’s problem
But is that the answer
It’s not my homework
I was just curious to see the actual answer
But it turns out I was correct
Is the first place
But @acoustic jungle Doesn’t agree
Lol what
It’s this dudes work
@upper karma
?
Can u help
?
No I’m just curious of what fishraider means
Why isn’t it 80
?
@upper karma
@acoustic jungle what do u mean
BDC isn’t useless it is 80
Opposite angles of a cyclic quadrilateral = 180
Set them equal and find X
@vale nimbus How so?
Why isn’t it 80
I’m using the inscribed angle theorem
Does this theorem not apply to it for some reason?
Am I missing something?
no, it is not 160
160 is only part of nbc
arc bc is 160 degrees
no because angle d does not intersect BC
Ya but how else does angle d correlate to arc Bc
You basically have to just make it a inscribed angle
How else does those 2 connect
@remote heart
Hint says find angle d using 160
Also his homework in the past was focusing on inscribed angles
This was part of his homework of inscribed angles
Wait I’ll show u
yes, it uses inscribed angles
Ya so what’s the answer?
I haven't worked it out yet, but it is not 80 as 160 is reffering to BC, not NBC which D intersects
sure, let me know if you need anymore help 🙂
Ya it’s not even my homework tho, I’m just curious
mhm
This @dark notch homework
ik
Cool
area is 38.5 cm
cm**^2**
it would be 58.2 degrees if you were asked to round to 1dp
capital P, but yeh. write the ° and it should be fine
yeah, what about this
i don't know, is it?
what's making you doubt that it is
idk im not that good at math
Just use law of cosines
well how did you get 10.9
cosine rule
if you didn't fuck up your arithmetic, and you wrote down the law of cosines correctly,
then surely it stands to reason that your answer should be correct
oh ok
also, if you stick your hand in water your hand becomes wet
alright thanks
If I stick my hand in water I will disappear into oblivion.
What if you dive in then?
I’d you dive in them, you won’t be wet
Hmm
I'm confused, dive in a pool of hands?
kinky
You could make a religion out of this
Y don’t you replace it with quicksand
The hands pull down the quicksand as it tries to escape
Wouldn't the quicksand pull down the hands at the same time?
so the hands and the quicksand will keep on pulling each other down
forming a never ending loop
Cyclical falling
Im not sure but id say just imagine the unit circle and the triangle in it. From there you should be able to get one of the sides to the additional hypotenuse that should be 1 (if you dont have a idea how to get information about one of the sides remember what sin is
From there you should be able to use the method hinted at at the top of the exercise
use the pythagorean theorem to find the missing side, c(hypotenuse),a(side),b(side) , plug in the values you have into this, c^2 = a^2 + b^2 , and solve for the missing value
The fuck
so here, they have given u the hypotenuse and the opposite side
to angle theta
using the pythagorean theorem you have to find the adjacent side
the hyp is 20, the opposite side is 17
20^2 = 17^2 + X^2
solve for x
cosine theta should be x/20
So what is x?
lemme plug that into cymath im running on no sleep rn
🥴
heres a link so you can view the process
?
Is that the final answer
Alright
Oh ok
OR
if it allows u to write roots
then write the root
cause it said "exact answer"
youre welcome
<@&286206848099549185> I need help
😭
I need help with my circles homework
¯_(ツ)_/¯
😭
post

Instead of that decimal.
Just write sqrt space 10.
It'll automatically put in a square root sign if you put it in.
well you know that 2sqrt10=sqrt(40)
Oh
Fuck
Damn it
I didn’t put a space when I did sqrt the first time
I’m retarded
Is the equation right?
for which one?
no
What do I change it to then
is it 10?
Maybe
...=r**^2**
https://i.imgur.com/SaT5eFr.png yo for question "iv", am i supposed to get area and length of the smaller sector or the bigger sector? because for the rest of the questions its for the smaller sector. The answer in the book for the "iv" question is for the bigger sector
@upper karma Yep correct 👍
Lesss gooo
Are circles supposed to be this hard?
No
It’s pretty easy
Oh
I just don’t get the point of circles, and I can’t see it from their side, it seems they don’t have any.
Sorry had to get my circle pins out of the way
Puns*
Lol
bigger sector. (since the bigger arc is highlighted, the marked angle is also of the bigger sector)
oh thank you i didnt see the highlight lol
@harsh urchin do you see the little curved arrow in the center?
Yes
that's your angle, which represents the arc
it's even colored in blue (green?) if you look close
Aight alright thanks
Damn i wish the letter was smaller
My textbook is calling this a parallelogram
I looked up this definition and it says a parallelogram has 2 pairs of parallel sides
Anyways... is the height of this the line on the origin from 1 to 4 ?
So I can calculate it's area
nvm its 2, -1
lol
if it was a parallelogram the correct point would be (4,4), not (4,2)
Weird
How to find bearing of a coordinate point.
anil kumar 👍
honestly it was the first video recommendation when I googled "how to find the bearing [autocompleted with "...between two points"]"
so I didn't even need to type the whole thing
technology is awesome
that should get you started @stable magnet
or rather, your "friend"
@languid finch do you still need help with that?
eh, you're offline
never mind then
thanks
Just the slope of the secant line between the two points
Can someone explain the process how how it was factored?
they factored what was common in both terms
both terms had a 6tan(theta)
when u factor out a 6tan(theta) you get whats left of each term
@barren tide
thanks bro
np
Turn of scientific notation
Do you see where it says E-6?
Next to the answer on the calculator?
Thats because it's a really small number
you mean E-4
Yeah couldnt see it lol
No not that, how come I get 3.00864.... on my calculator, but the question shows that the answer is 0.00030...
oh is it cuz they moved it?
\verb|3.00864E-4| stands for $3.00864 \times 10^{-4}$
Ann:
This shit hurts my soul. I've been trying to figure out this question for like an hour
You guys are so very nice for helping my little ape brain understand numbers
And I thought I could be a mathematician 😭 😭 😭
I want to able to pass my class with an A
Bro this is what's called a "fixed mindset"
And you need to get out of it
You are not "good" or "bad" at math by nature. There are merely concepts you have and have not had sufficient exposure and practice with
UwU
@rich wolf You’re a smart boi
@rich wolf You have growth mindset? 👌 👍
I wish you a good life my friend
Hope you do well in school and everything 👍
Oh I just mean when I was in highschool, all math was super easy, but now that I'm in college, it seems like a foreign language, and I've never really struggled until now.
Hey guys
At least I have the internet tho lol.
"Always surround yourself with people smarter than you." -Snoop Dog
Welcome
Plus like no one is teaching me so I guess that's like the biggest issue I'm facing.
That means you have some sort of gap in your knowledge you need to address
Also yeah not having a teacher kind of sucks
I got off my ADHD medication in highschool, so like it's not as easy to focus, but I won't let that stop me
Wait are there tutors on here?
what's the angle sum on a line?
I already told him in #help-1 ...
Well check the time @upper karma
yep
He possibly didn’t understand what Ramonav was saying
So he went there
And then u answered it
Hello, I'm using geogebra, do you recommand anything else or is it the good tool? (am using the online tool)
I'm trying to get the radius of a circle but I can't get it
Sorry so I've finally found out
I just have to create a radius segment. Then I enter the Length function gives me the length of the segment
@upper karma I believe this is in regard to the quadrants of the coordinate plane. Starting from top right and moving counter clockwise they are I, II, III, and IV. tan = sin/cos. So we want tan to be positive. (x,y) is respective to (sin, cos). From this we know that tan will be positive if sin & cos are both positive or both negative. That should narrow you down to 2 quadrants. Then think of what csc is the reciprocal of and you should be on your way.
If that is wrong then I am an idiot and please don't mind me....
I'm pretty sure it comes out to Quadrant 1 right?
so quadrant I is where both sin&cos are positive and quadrant III is where they are both negative. csc is the reciprocal of sin, so we want sin (our y value) to be positive
that said, yep, you are correct
i'm pretty sure i have the answers
i'd like to check them with you first though
sin=40/41 of course
cos=9/41
tan=40/9
cot=9/40
sec=41/9
Wth are you saying
csc=41/40
huh?
this is how ur supposed to put in the answers
What are these trigs?
they're based off of the problem i sent
checking
@upper karma how did you got cos tho
Show work
i worked on with a friend over discord
I mean, how did you got cos value
i kinda just did what he said and put it into a calculator lmfao
...
Im out
i'm just trying to make sure that it came out right
the numbers look right, just be cautious of what quadrant you are in
@calm kite what is x^2 + 4x + 4 in factored form?
factor theorem
@blissful gorge
this is the last problem on the homework assignment
@upper karma use the sine definition
ok it is sin
so it would be sin(32)=14/c?
@upper karma
wait no
so it would be sin(32)=14/c?
@upper karma yeah lol why not
because then it asks something else
it wont let me snip the rest because it scrolls down every time i try to snip
You have to look at the question lol
It says: "Which of the following ratios can be used to find c?"
We used sine's definition/ratio to get c, so it would be the F. option
Its just a question apart
To check if you did it randomly or with trig lol
alright thank you
Np 
,calc sin(32)/14
Result:
0.039387620088692
,calc 14/sin(32)
Result:
25.388688063615
@upper karma
i got it
ur welcome

Someone help pls
use pythagoreas theorem
Use trig functions too
Find all three angles
hi
Can someone help me understand how to do thia?
This*
<@&286206848099549185>
2pi r h
yes
Law of sin to find AC
C=180-31-18
Then either law of sine or law of cosine to find AB
Use law of sines
C I think..
Could you explain how you got to that?
Bh is the area for a rectangle
So if you tripped each of those numbers
Tripled
Itd be 9 and 6
Ah okay thank you @next epoch
C
Np
Lol
Aha any one okay with a dumb question real quick
Sure
Let me get a ss brb
im probably overthinking this smh
not an exam btw, it's just a stupid edgenuity question
I might be dumb cuz I suck at geometry but I got the a, b, c and I don’t remember what lateral faces are
Alr
@next epoch What
@upper karma hm
help
help how?
It's so vague.
^
theres like no info to solve this question
wait no i don’t
lel
i’m thinking the diameter is the like diameter of the circle
and the height is the 10ft shown
but idc
idk*
it thats not the case, then you cant answer the question
Who wrote this question? I’m going to put them into a propane tank and ask them to find the volume, because that’s Just about the same difficulty here.
LMAOO
Right
two hemispheres = one sphere
so you have one sphere, with a diameter of 10 (radius 5)
and one cylinder, also with a diameter of 10 (radius 5)
google the formula for volume of cylinder and volume of sphere
add them
and there you go
Noice
yes but the diameter of the cylinder isn’t necessarily the diameter of the sphere, from the looks of it... or am I wrong?
Nah it is
Hmm
if you cut a sphere in half...
Becomes 2 hemispheres
and stick that half to a cylinder with the same diameter
Oh I see
yes, the radius of the cylinder is the radius of the hemisphere(s)
ahh
Makes sense now
Thx
the diameter of the half circles ain't even looking close to 10 ft compared to the height of the cylinder
dafuq
Deal with it
Nothing is drawn to scale
sometimes they do that on purpose
just to throw you off
deal with me xi
this is a judge free zone
soft tingz
i’m gonna cry i hate my teacher
Here's a hint.
Look at the 1st and 4th line.
Then 2nd and 5th line.
Then 3rd and 6th line.
This ordering sucks ass tbh.
Also, A n B and A n C suggests that this is something that BOTH A and C has.
Thus, everything in the first two lines is something that A contains.
Which, then, you rule out the first two answers.
4th and 6th mb*
If something is in
A u B but not in B u C, then that "something" is also part of A.
A doesn't have 4 because B and C have 4 and A n B doesn't include 4
A = {1, 2}
B = {3, 4}
C = {5}
A U B = {1, 2, 3, 4}
B U C = {3, 4, 5}
Everything in A U B that isn't in B U C is part of A.
Yeah 3rd.
I'm sophomore in HS. Far from being any teacher.
oh LMAO
@upper karma I don't know how to do it. Where did you find it online?
bruh
but why is it so low quality
and doesn’t it say x is a right angle
i googled up the picture
and sorry i’m sure that isn’t a right angle it’s just low quality
it’s pretty tricky tho
Show that the lines ac and bc are perpendicular
Aka slope ac = -1/(slope of bc)
Aka (slope ac)(slope bc) = -1
@thin pendant
Just Google circle theorems
Here
What are ZT and XY
They're chords
Google theorems relating to chords
@upper karma V is the center right?
What if I told you
That YX and ZT are the same length
Hey
If you can prove it, you can name the theorem
Pretty sure its called equidistant chords theorem
Call it the Golden Legs theorem
@brazen roost 🤣
https://discordapp.com/channels/268882317391429632/326138757474680852/709596326270337054
where does sin(x+20) come from?
Law of sines lol
OC/sin(x) = CD/sin(x+20)
where's the x+20 coming from?
it should be CD/sin(angle COD)
Hm
O+x+20=180 maybe
But no
Hm yeah its incorrect i think too @upper karma
Or idk what he did
So i know the answer 9, but can someone tell me why this is wrong 10(x+6)=144?
shouldn't this also give me the answer?
10(x+6) is not the area of this shape.