Thank you - I'm in need of a trig brush up and your concise explanation is just right for me. I always need to understand the derivation of formulas in order to remember them. Your simple explanation is very helpful.
our math teacher taught us "Oscar Has A Hairy Old Ass" Opposite hypotenuse, adjacent hypotenuse, and opposite adjacent. I think I like SOH CAH TOA though
@TheNevikProject You're right, I've noticed it doesnt work in all triangles, its just hard finding those, or finding a relationship in those where it doesnt work.
Aww mate I am teaching myself A level maths as home studying and you make it soo much easier to understand although this is quite confusing still! Thanks for your vids
Nice job! The Law of Sines proof can take you to a higher trickynometric place. It's definitely NOT the height of absurdity although ALTITUDE is certainly involved. Thanks for a colorful and clear presentation. On a less goofy note, the relationship shown is an interesting one.
Thanks for the video. I don't understand why you start doing what you are doing at 4:30. Could you respond here and explain a little bit more about what/why you are doing what you are doing at that point? Thanks
He's dividing both sides by A and B so sin(alpha) and A are together on one side of the equation and sin(beta) and B are together on the other side. A and alpha are like partners, B and beta are like partners. They belong together.
Just a question, i may not know much about trigonometry, but what's wrong with using two small right triangles to prove the law of sines? What was inconsistent? Also, how would you prove the law of sines? because i really do wanna learn about trigonometry and to see a different way of proving this would be really helpful.
More accurately, the opposite and adjacent sides are always relative to the angle you are solving for (or with). The hypotenuse is the longest side of a right triangle.
At 00:49, the triangle has just one angle without name, and this is going to be gamma. So when you draw the perpendicular line to B you will have the same situation than in the video, rather instead of B and alpha you'll have gamma and A. Good luck! (this post is the following part from the former)
Actually, transitivity is not a law, is an axiom, so it CANNOT be proved, its a statement which needs no demonstration, it is simply true. Answering mephatboi, the process for getting sine gamma over C (or sine C/c) is the same, but in this case you are going to draw a perpendicular line to B that passes through beta.
I like your explanation. Whether or not the students know it, you are demonstrating the laws of transtivity because all of your ratios turn out to be real numbers.
@KhroniclesOfNothing I forgot that if there is no need to prove something that there is no reason to know something. Some people actually enjoy math and are interested in these things. Other people, learn better when they can understand why things are.
SOH CAH TOA = Sex On Hard Concrete Always Hurts The Others Ass
AgentFood01 3 days ago
oh men thanks for this video it helps me alote ^^
glendale011192 1 week ago
hey can you show the other proof using area of triangle? thanks!
Saiixx 1 week ago
Some Old Hippy Caught Another Hippy Trippin On Acid.
HectorL360 1 month ago
and our math teacher taught us ' some people have curly brown hair till primted black'
some people have= sin=perpe/hyp
curly brown hair= cos=base/hypotenuse
till printed black= tan=perp/base
shoaibliger95 5 months ago
thanks!! just mess out with something with this law...thanks!!!!
basketboyyu 5 months ago
oh...and your favorite word is aribitrary...i've noticed that
meterotronic 6 months ago
does not help my intuition....your a very intelligent showoff.
meterotronic 6 months ago
I need the proof of sine of beta over B equals to sine alpha over A equals sine theta over C "EQUALS TO 2R"? I saw that in some textbooks. thank you
juifu 7 months ago
Saw you on Colbert, congrats man.
acerbic42 9 months ago
I wish you were my teacher
judo1221 9 months ago
lmfao daymare XD
TonyboyDK 10 months ago
Thank you - I'm in need of a trig brush up and your concise explanation is just right for me. I always need to understand the derivation of formulas in order to remember them. Your simple explanation is very helpful.
maizygrace 11 months ago
Did you know that if you were to inscribe that triangle intonation circle, the law of sines ratio is equal to the diameter?
iwillg4 1 year ago
our math teacher taught us "Oscar Has A Hairy Old Ass" Opposite hypotenuse, adjacent hypotenuse, and opposite adjacent. I think I like SOH CAH TOA though
daymare10110 1 year ago 35
@daymare10110 u honestly made me lol irl
lpbug 1 year ago
@daymare10110 Damn! I wish I had a teacher to teach me about Oscar's hairy old ass!
ikol12 11 months ago
@daymare10110 true that (Y)
TheAby2009 2 months ago
This has been flagged as spam show
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AlexisSimcu 1 year ago
I have heard that the law of sines does not always work 100% of the time. Do you have a video that gives an example of when it does not work?
TheNevikProject 1 year ago
@TheNevikProject You're right, I've noticed it doesnt work in all triangles, its just hard finding those, or finding a relationship in those where it doesnt work.
sccr2009 1 year ago
thanks for teaching i have many troubles in math especially in trigo.
MarkAdul09 1 year ago
thans for that but is there not two cases the acute and obtuse case? How do you do the obtuse case?
Socksysock 1 year ago
thanx for your teaching
BILALRAJEY 1 year ago
Aww mate I am teaching myself A level maths as home studying and you make it soo much easier to understand although this is quite confusing still! Thanks for your vids
simon247sa 1 year ago
you saved my life there :D
R4Y4NO 1 year ago
This video just put me 2 weeks ahead in my maths class xD
theneonfire 1 year ago
Nice job! The Law of Sines proof can take you to a higher trickynometric place. It's definitely NOT the height of absurdity although ALTITUDE is certainly involved. Thanks for a colorful and clear presentation. On a less goofy note, the relationship shown is an interesting one.
lexinaut 1 year ago
i was so confused when you started but you proof makes so much more sense in the end, this really helps me so much for my class
MrComplians2much 1 year ago
you are a legend!
PTL0 1 year ago 12
@PTL0
now THAT is True!!! ;)
<3 KA
red115dragon 1 year ago
i cant tell if ur desi... cuz ur accent is pretty good......are u desi?? i have to know
airheadrox 1 year ago
ily
hobomnky 1 year ago
Thank you so much: you have just saved my math grade!
Moonlightkitteh101 1 year ago
ur a good man
mochalucha 1 year ago
Please be my teacher.
Underwatercemetary 2 years ago
Thanks for the video. I don't understand why you start doing what you are doing at 4:30. Could you respond here and explain a little bit more about what/why you are doing what you are doing at that point? Thanks
InvisblSkratchPiklz 2 years ago
He's dividing both sides by A and B so sin(alpha) and A are together on one side of the equation and sin(beta) and B are together on the other side. A and alpha are like partners, B and beta are like partners. They belong together.
beanstie 2 years ago
he's bringing the equation down to the law of sines as seen, well everywhere you see the law of sines.
Phizon442 2 years ago
It was good the fact that you explained that the rule could be applied if you drew a perpendicular line from any of the vertices.
Nice simple video!
IinstantClassique 2 years ago
fantastic thank you it was very well done :)
AshvinChawla 2 years ago
perfect.
angsusi 2 years ago
much more elegant than the proof in my textbook, thanks!
LoneRiver1 2 years ago
Thank you, I finally know how the equation came to be now :]
dachu108 2 years ago
Could you show how to use the law of sines to solve physics problems involving forces and vectors.
seandavidr 2 years ago
Comment removed
shearbox 2 years ago
Just a question, i may not know much about trigonometry, but what's wrong with using two small right triangles to prove the law of sines? What was inconsistent? Also, how would you prove the law of sines? because i really do wanna learn about trigonometry and to see a different way of proving this would be really helpful.
spudcole319 2 years ago
Nothing, using the law is just faster.
Paulorific 2 years ago
Comment removed
Mykostest 2 years ago
This has been flagged as spam show
this is scary if u read this this far u will die in 10 days if u dont send to any 15 videos in 2 hours SORRY x .
chevelledude888 2 years ago
good... i want to die.
OMGWTFBBQTSTIS 2 years ago
You could explain something that my Pre-Cal book could not! :D
itzdaviddc 2 years ago
which one do u have? my book's copyright date is 1954. haha
MuscularBeaverx 2 years ago
You absolutely rock!!!!
digsnkills 2 years ago
Thank-you Sal. You rock.
PenguinJin 2 years ago
dude please get back to me i have a test tommorrow and i need this. is it opposite and adjacent from the 90 degree angle or the beta.
chrian09 3 years ago
Opposite and adjacent are always relative to theta. The 90 degree angle should always be opposite the hypotenuse (I believe)
ppardee 3 years ago
More accurately, the opposite and adjacent sides are always relative to the angle you are solving for (or with). The hypotenuse is the longest side of a right triangle.
ppardee 3 years ago
wat program does he use to write with?
cutie87654 3 years ago
Sal the Magnificent!! I will earn an engineering degree with much help from this man!
aztips 3 years ago
good job bro
SenorBastardo1348 3 years ago
At 00:49, the triangle has just one angle without name, and this is going to be gamma. So when you draw the perpendicular line to B you will have the same situation than in the video, rather instead of B and alpha you'll have gamma and A. Good luck! (this post is the following part from the former)
danieloreto 3 years ago
Actually, transitivity is not a law, is an axiom, so it CANNOT be proved, its a statement which needs no demonstration, it is simply true. Answering mephatboi, the process for getting sine gamma over C (or sine C/c) is the same, but in this case you are going to draw a perpendicular line to B that passes through beta.
danieloreto 3 years ago
I like your explanation. Whether or not the students know it, you are demonstrating the laws of transtivity because all of your ratios turn out to be real numbers.
opinionhead444 4 years ago
lkjlk
WetheKingsCab2008 4 years ago
Thank you so so so much!! I was really struggling with understanding this, now it's extremely clear. Thanks again! :D:D:D
WetheKingsCab2008 4 years ago
Excellent!
I memorised this, its the same:
sin(alpha)/sin(beta) = A/B
mykeuser 4 years ago
this is easy stuff but it would be much easier to explain if you used values
xxhasudin 4 years ago
How would that aid the proof?
MrMss4 2 years ago
defeating the purpose of 'proof'...
KhroniclesOfNothing 2 years ago
@KhroniclesOfNothing I forgot that if there is no need to prove something that there is no reason to know something. Some people actually enjoy math and are interested in these things. Other people, learn better when they can understand why things are.
MartianSpore 1 year ago
i only wanted to see how u get the third part, sin C/c
but that's the part u skipped!
mephatboi 4 years ago
Excellent. Thanks again!
APHH2 4 years ago
Cool :)
qwertyuiop726 4 years ago