#geometry-and-trigonometry
1 messages · Page 334 of 1
the horizontal eye level is perpendicular to your tree
THOSE are the locations where the 90° right angles are formed
no wtf
fml
you should NOT be doing anything related to trig atm
go back and review basic geo from something like khan
i'm out
Fancy just giving me the answer?
can some1 help me
a
are there any nice points besides the roots on the graph of tan(x)?
idk, tan(x) ~=2.605089 is pretty nice too
Lmaooo Alr
I've tried comparing every thing, I've been looking at it for like an hour and just been so confused
I'm honestly just considering writing down x=5 because it makes sense when you just look at the photo
how do you think x=5 makes sense here?
sry
Well, we can see that angles Q and P are pretty similiar, since P is 23, i can try to make equation q somewhat similiar, i think i'll be good on my own now but it'll just have to be trial and error until the X's add up
don't use trial and error
use algebra
if the values aren't nice, trial and error gets you nowhere
if the values aren't nice
here they are
x=5
instead consider angle sums of triangles, on lines and/or exterior angle theorem
the answer is 47
degrees yes
you know your trig rules?
No I don’t
ok so here's a useful mnemonic called
SOH-CAH-TOA
do you know the concept of opposite, adjacent, hypotenuse?
No
give me 2 seconds I'll draw it up ok?
Ok thanks
The side adjacent (touching the angle) is the adjacent one
H, A, and O
So you have your special things called sine, cosine, tangent
so take a look at your original question right,
I need help please and thank you
i just learned this recently and then had a short break from class so now i’m confused again, can anyone help?
Looks like there's not enough information
^
i think i got it , i just use the sin cos tan formula 🙂
but does anyone know how to find similar triangle ?
did you cut off information in your screenshot?
yes i did by accident, the hypotenuse side is equivalent to 88
The sides of a polygon are cyclically extended to form rays, creating one exterior angle
at each vertex. Viewed from a great distance, what theorem does this figure illustrate?
Could anyone illustrate what this problem is talking about^
I am not sure what they mean by "cyclically extended sides" to form rays
uh help
The angle (not x) next to 40 is 140
So the triangle is
X - 90 - 20
X is 70
And for the other one
Solve
oh
thanks bro
means a lot
i was stuck on 1 more but i was planning on doing it on my own
No problem
i missed like 2 weeks of school since i had the rona
yeah
interesting
I need serious help proving this identity
Thanks in advance
Photomath is helpless
This tgalfa+1/tgalfa-1
SSS therom
side side side
if the three sides of a triangle are equal to the three sides of another triangle
I think that's how it works
@shadow wadi plug in sin and cos expression for tangent, expand numerator and denominator so they are both one fraction that end up having the same denominator of cos^2 which can be cancelled out. Then you're left with a fraction in terms of a difference of two squares and you can apply a partial fraction decomposition to it to get the final result
$\frac{cos\theta-sin2\theta}{cos2\theta+sin\theta-1}=cot\theta$
No need to use double angle formulae
$\frac{cos\theta-2sin\theta cos\theta}{cos^2\theta-sin^2\theta+sin\theta-1}$
Ah
wait @grizzled knot please explain a bit further I’m sorry I’m really slow
Triangles are congruent if they have equal sides
It says SSS therom which means side side side I think. This means the 3 sides of a triangle are the same as the three sides of another triangle
and if you look at the three triangles on your screen
which two have the same sides
Going back Narwhal
I leave -1 alone?
or is there some other step
do you know
Lemme do the identity on paper real quick
ok np
Sorry bro did this I dont get the requested
Photomath wouldve known that anyways
But photomath is kinda confused
@grizzled knot yeah expand 1 with pythagorean identity
Then top and bottom have a common factor that cancel out and you get your required result
Honestly you could have just tried that and seen if it worked though
@shadow wadi youve done it wrong i believe just did it in my head and it works just fine
@foggy talon thats correct
Anyhow i gtg sleep
is the pythagorean identity
okay thank u
$1 = sin^2\theta + cos^2\theta$
LightBrin
Guys please check if I did it right
I don’t want to mess up
This is ixl
if I get one wrong my grade drops
LightBrin
and if so why is it
It's negative 1
I forgot this part so could you explain
btw, idk if I'm allowed to tag you
cause there was a rule about helpers before
seems about right
think i could get some help on that first problem i sent?
I don't remember either, I'm sitting here trying to prove trig identities
xD
wait a second
there was a radian unit circle here all along, omg that would have helped me so much if I had known earlier
yup, it's correct
just make notes
SSS means side side side
which means 3 sides of triangle = 3 sides of another triangle
SAS means side angle side
two sides and the included angle of one triangle = two sides and the included angle of another triangle
wait you might have to rearrange the order of the vertices
it would be hgi is congruent to bca
Okay thank u
@echo badger find angle B
yeah, then do law of sines
$\frac{\sin{A}}{a}=\frac{\sin{B}}{b}=\frac{\sin{C}}{c}$
moshill1
alternatively
2r/1 ?
i meant a/sinA=b/sinB=c/sinC=2R
oh
where R is the circumradius
the circumradius part wont help u much with this problem but its good to know
what c/sinC in this case
now let BC=a
we know c/sinC=a/sinA
by law of sines
c/sinC is 28/sin36, and A is 25
uh
F pattern
k
and then use the fact that sum of angles = 180 to find the 3rd angle, then use law of sines again for b and sinB
?
F pattern means the angles w/ x are equal
what's troubling you with this one?
how do I determine what SQRLike I figured out what X is,but When I Go to put x in,it said that it was wrong
your set up is completely wrong
why are you setting your angles equal to each other?
I thought that is what we was supposed to do
no
2 adjacent angles aren't necessarily equal
you should be applying angle sum on a line
I thought I was looking for the segment bisector
my bad, I try not to
i need help w something
what specifically don't you understand about it?
consider exterior angle theorem which can be derived from the combination of:
angles sum in a triangle
angle sum on line
like all of it the textbook is really crappy and it doesn’t explain it well
what is this
like the u
what’s with the angles
This is SPARTA
alright and how do we find u
consider exterior angle theorem which can be derived from the combination of:
angle sum in a triangle
angle sum on line
alright and what’s the next step
manipulating and solving a linear equation
do same shit to both sides etc
work towards isolating the variable you intend to find (in this case u)
and then you'll know what u is, which is what the question wants
look it up
or apply the combination of
angle sum in a triangle
angle sum on line
spend a little effort yourself
look I’m sorry I am looking into it
for question 5 the base angles are 85
the exterior angles described therefore are 180-85, or 95
for question 1 the side you're attempting to find is equal to 21
x is equal to 12
Hi can someone check my answer
<@&286206848099549185>
pls I’m so tired
I need to know if it’s right
okay what’s the correct one
and thank you for answering
I also thought it was ASA
@vestal pendant
@foggy talon sorry for being late but your answer is correct
you can't prove congruence with only two sides
I got it wrong
well in that case it must've been an error
for the previous question you were told two sides were congruent from the markings.
one of the sides were also common in both triangles.
the marked angles are also congruent (and between the corresponding sides)
hence you have congruence by SAS
well then that's my mistake
i thought the marked angles weren't congruent because of the way they were marked
both marked with a single red arc (with no values attached) in context implies they're congruent
But what about my latest question?
i apologize for having misunderstood that
the triangles in the latest question shouldn't be provable
there are only two congruent angles and no congruent sides as far as i can see
oh and the vertical angles are congruent
also i found this weird identity and i need help proving it
here's a unit circle with all the trig functions
can someone help me with this explanation? I know that the ratios are equal but my teacher said to include how the 2 acute angles are complementary and how that factors in
well i know an identity that would help but it won't be useful if they don't show how they proved it
oh
my teacher wrote that out when she was telling me to incorporate the complimentary angles
but i haven't made the connection to write it out in words
because i feel like just writing the ratios out is too basic
yeah i was gonna say the ratios technically prove it?
so you know the concept but can't explain it using complementary angles
yes
like am i missing some key phrase that explains it well or is just mentioning that the angles are complementary enough
because i dont know why them being complementary is significant
maybe prove sin(x) = cos(90-x)? first sorry im just throwing out ideas
@upper karma any ideas?
sorry @viscid garnet im not sure
let me try to write out an explanation
okay thanks!
i think i've got it
i wont put my words directly in your mouth
first, explain that the acute angles in a right triangle are complementary
yes
how do u prove that angles are acute in a right truiang;le
wait no
the actue angles are complemtnary
i mean
sorry
i have autism
so
its hard for me to type
well complementary angles add up to 90
dont they multiply to 90?
any triangle must have interior angles that add up to 180
drizy no
i thought it adds up to 360
in a right triangle one angle is 90 already
they add to 90
but a right angle is 180
???
??
therefore the two remaining angles must add up to 90
the two remaining add up to 180
therefore they must be complementary
<@&286206848099549185>
this should be under algebra
try forming the equation from the word relation first, then solve for A
oh its not geo my bad
Do u know what is the exterior angle theorem? @foggy talon
no I really done
don’t
I need to learn but I search up examples and I don’t get it
do u know the sum of angles on a straight line?
u need to know that before u can solve
is it also 180
yes
now we can form 2 expressions for the unmarked angle
using the straight line, what is the expression for the unknown angle of the triangle?
31x+49=180
yes
now forget about that for a second, focus only on the triangle, what is the expression for the unknown angle of the triangle?
31x+49
ignore that, look at the triangle only
180?
the 3 angles in the triangle should add up to 180 yea?
yes they should
write it out
x+36+x+42+the angle = 180
now u have 2 eqn and 2 unknowns, u can solve simultaneously
yup
It’ll be 78
So then what do I do
Subtract?
180-78
It’ll be 102
@amber wraith is what I said right?
do u know how to solve simultaeous eqn?
no I don’t think so
I’m sorry but it’s 12am here
I really need to sleep
is it 2?
nope
I’m sorry to ask but what’s the correct answer
1
okay thank you so much @amber wraith
@shadow wadi separate denom as difference of two squares and perform a partial fraction decomp. @grizzled knot yes that is the correct identity. The fact it's -1 will allow you to cancel with the earlier positive cosine squared term and the denominator will factor with sin
tf? I thought it was 25 + 30?
angle ABC is 55 degrees yes
they're asking the type of triangle not the type of angle
Also, that can't be right because if ACB = 90 and ABC = 90 BAC must equal 0
ABC is 55 not 90
but a 55 degree angle = acute????
as long as 1 angle in a triangle is 90 then the triangle is considered a right-angled triangle
it is an acute angle yes
ok
what seems to be the issue here?
ASS is NOT a valid justification for congruence
OKAY THANK U
so I was wrong
I’m pretty sure this one is right
I really need to double check
You’re baiting answers
perhaps you should explain your reasoning
Explain why you think it is what it is
yeh just realised you're baiting
I’m not baiting I need to double check there’s this website my teacher assigns us
if we don’t get it right it lowers our grade
Look
I’ve answered 147 questions
I just need the reassurance that my answer is right
is this some sort of competition with tangible rewards?
timed too so its pretty much borderline a test
It’s not timed
It’s how many hours you’ve spent on it
I’ve been on it for like 2 hours
with this new revelation I'd only be comfortable with telling you to review the valid justifications for congruence and determine whether they're applicable
Why u giving me big words i don’t speak English good and I don’t know where my reviews is
i.e. the valid justifications are: ..
in my diagram i have: ...
hence conclusion
that comment as not for you
What?
Can you help me??
I really don’t know I’m not good at math I’m sorry @fresh topaz
Ok
how nice of you to cover probably the most important part of the question with your mouse cursor
7 I believe
that's a one in a million chance right there
lol
5?
what 5 supposed to be?
dude i'm confused can you say it in small words your texting in like a whole new level words for me
which part of
apply properties of parallel lines
identify corresponding, alternate angles etc
is confusing
all of them
these are all terms you should already be familiar with
when doing these types of questions
if not
look of a guide by doing a google search on:
properties of parallel lines
I'm only a level 10 Psychic. I'm not good enough to know your problem.
@fluid sparrow
geometry
For a list of rules about asking on this server, please see #❓how-to-get-help.
i can send right?
don't ping people directly without their permission
oh mk
At least take a look into vector addition, please.
SOH CAH TOA
Yes but I don't get it
Just follow this ^
So you have the values of theta (the angle) , the opposite (which is x) and the hypotenuse (which is 5)
Then use one of the formulas
Same side
precaite it
order of vertices matters
Thanks for the info! I got the answer 4,33m. Sin 60 = x/5 Sin 60 * 5 = x = 4,33m
Great work!
Can someone please help with this
no clue, do you have a question or just complaining?
and parallel proofs in shapes
are even wose
worse*
my teacher usally does a bunch of lines
but when triangle
nope
Ok can u try this
aren't u in 10th grade?
why are u asking a 8th grader for help
No I am not in 10th
9th?
well I take a different geometry
Bruh
yea
look
I got a F first quarter
second quarter my teacher showed mercy
and exempted me from 2 0's
lol
see
the purple thing
I mean u have a’s and shi idk bru
You was me in 8th I almost failed and now I have high a in all my classes
dang
Yea💩💩
I'll give u another server
Nicee
?
Yes
I'd try using the distance formula or midpoint formula and manipulate those to get the answer. Look at the answers and see if you get one of them. I'm rusty on geometry, so I don't have much more than that rn
-I can calculate the area of the triangle if I get to know the angle between the sides a and b and its lengths.
Determine a formula for the area of the triangle.
I am not sure how to do this
@deft bear You still need help with this question?
any one know how to do this
@spare widget can you help me
@molten kayak can you help me
Lol I haven't done geometry in forever
ok nvm i am done
Which isn't a good thing since I want to be an engineer lol
you speak german, i can give you analina homework
Find the measure of YP in degrees
i was gonna say its 128 but its not a centeral angle
<@&286206848099549185>
yp is a curve right?
ye
its uhh
it says find the measure of yp in degrees
thats all it says
A.) 166
B.) 147
C.)90
D.) 128
this is just some reveiw shit im doing cuz i dont understand it
so like
am currently trying to understand it
@wintry tundra
And everything i can find to try and help me is only talking about centeral angle
ik about centeral angle
Can anyone help me with math rn :?
bruh
@molten bronze what do u need
Would anyone be able to provide the answers with the work shown for my younger brothers Quadratics math homework. Tried to help him but I honestly just don't remember how to do it and came here for some help. Thank you, questions are below
🙂
@near tendon no one provides answers
Can someone check my work :?
I feel like this question has 2 answers but one answer is unethical and I’m confused
bro
how the fuck
am i meant to find the god damn
length of an arc
when i dont have the radius
bruhh
Um use x
Teddy can u help me :?
Probably not
What is it?
@molten bronze youve yet to actually post a question
Lol
Ahh I normally post when someone can help me
I don’t wanna peer pressure them I’ll do it rn lol
Cause when I look closely they don’t look like it
Ahh mb (I didn’t actually read that I’ll do it rn ) also these are verticals angles right
pog
I'm here for my little brother what's an arc
He needs help and his teacher won't respond to emails from him or me
Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.
@small blade
Yea, A can be proved if you assume AD and BE are straight lines.
For SAS, you'll have length of two pair of sides equal and the angle between those sides are equal.
@upper karma BD is 24 cm
find diameter and radius first
try cutting the big square into 4 identical small squares
that might allow u to see something
Is it option c?
yes
Thank you
may i have assistance
All of them?
any question is fine
danke 🙏
ok are you guys done now?
So hard man@DimwitQ#5847
it is .-.
First thing, do you think they're similar?
A and B have some hints for ya
If they are similar, angles should be congruent and corresponding sides are all proportional in length
Ehhh?
I think reflection first
what does it mean with y = -x
Reflect along that line
,w graph y=-x
Haha
...
is it a?
Nope...
wait
that would mean its a square if its a
so what does similar even mean
if its the same shape?
because if its that then i can figure this out
fuck it im choosing b
If you forgot what similar means, you may wanna read your notes before continuing
Nope
Learn what makes two shapes Similar (hint: it has to do with resizing!)
The line y=2x+1 is reflected about the line y=1/2x
what is the equation of the reflected line ?
this is like a mega challenge problem lmao
combination of angle sum on a line and angle sum of a triangle
and/or apply the theorem directly
Is that geometry? I haven't taken it in a bit so
Same thing but inequality
@upper karma combine like terms and then divide - isolating the x terms
bruv
U see it?
nope
I feel you
Can someone help me on these
i can barely see each equation
This better?
alright for 1 what do you think?
its 4 half circles of radius 2.5
and a square with sides of 5
the perimeter will just be the circumference of the circles
Howd you get 2.5
so whats the formula for a circle?
divide 5 by 2
Idk how I can write it
pi*r^2
Yes
so if you have a square surrounded by half circles
whats the formula for a half circle
(pi*r^2)/2
but pi is a variable probably so dont worry about multiplying by pi
Be back when I'm done with this problem
just do it in x*pi form
Yeah my dad told me that but hes asleep rn
ohh wow
impressive ur school lets u do geo in 7th
so ur gonna be taking calc in 10th O_O
im in 9th grade taking Alg2
No
This is barely geometry
My school untill 7th grade is pretty much repeated stuff
right triangle trig isnt that funky either
im still waiting to learn trig cuz i dont really understand sin cos and tan besides that they are ratios
Ight I got the first finished
The worst about 7th grade is well you learn about "the body"
And if you know what I mean
eh
reproduction isnt too bad if ur mature enough
No I mean
My schools
Currently doing at home school
And if we stay
We have to watch the videos about it
WITH OUR PARENTS
Now
My teacher if you laugh or chuckle once I heard
or is it meiosis
just dont laugh then
^
its not funny
not gonna lie gametic fusion is so funny
yeah its always like that
$\int_{10}^{13} 2x \ddx$
hiidostuffmc
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
as someone who has gone through the school system i can tell you its not fun
amiright
69?
And
except it didnt put dx for some reason
lol
The boys and girls dont separate ar my school
so?
i mean its important to learn how it works since its a part of life man
Istg if I gotta watch it with my parents
I wanna go back to preschool
aaaanyways
ok
Its 1am currently
the rectangle with half circles out of it
And once I do this I'm on Christmas break
is $lw - pi(\frac{w}{2})^2$
hiidostuffmc
w= height btw
what do the shapes look like