Basic trigonometry | Basic trigonometry | Trigonometry | Khan Academy
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- Опубликовано: 4 ноя 2024
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Introduction to trigonometry
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Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials!
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![Pythagoras Would Be Proud: High School Students' New Proof of the Pythagorean Theorem [TRIGONOMETRY]](http://i.ytimg.com/vi/p6j2nZKwf20/mqdefault.jpg)
I like how he starts to sound more agressive as the video goes on
lolol
He sounds more simple and intenser...
…
Lollll
you took 9 minutes and 16 seconds to explain this while my teacher took nearly 2 months to explain
Kai Miner your teacher was probably consuming the time with nonsense
+Kai Miner Teachers r overrated
Bill 'I Did Not Bang That Woman' Clinton yes I did
lol
Same
Who else is here because they are completely lost in class
Everyone
Literally everybody here
Kirishima I’m in 8th grade idk what you’re learning in 8th but none of the other kids are learning this
Kirishima other kids in my school and calm down I’ll just delete the message
ruclips.net/video/SI9sLS8p2zw/видео.html
"I wish I were high on potenuse"
Demon50 😃 Bazinga
Badum....tssss
Can I get a t shirt with that on it?
BigTCDD That's a damn good idea. 👍😎
It's a sketch from key and peele lol
anybody else here trying to save there grade before finals
Me. The exam is tomorrow😂 tryna learn like 2 days worth of class in 10 mins
Me!
Me!
I am trying to learn 2 years of class in 10 minutes
+ZanderDogz your crazy men
is anyone still watching this 13 years later?
yes
Yes
most definitely, its extremely useful
the main thing is the quality
Well who's here to save themselves from online school 🤚
Yep... before this video I couldn't understand a word that my teacher was saying
@@google8993 soo truee. This made my math life easier 😂
This is a part of my online school :)
@@asairayn Goodluck then :)
I know maths more intuitively
Why dont you become my Maths teacher??
You taught me the whole thing in 18 minutes.I couldnt understand what my teacher is saying which took more than 3 months!!!
George Clarke
Badar Ismail same
Hello,
I provide the homework solutions in a very detailed manner on my WhatsApp group...if you need help regarding your school homework please WhatsApp me on 7827815929
Yo you know you in class the teacher be talking but it's like everything she said just come through one ears and reach the next
learned more from this dude than i did in 3 classes, 1 hour and a half each.. thanks mr.bullock
I've learned more using Khan Academy than I ever did in school.
Its amazing i am a 10 grade dropout that made C's, D's and F's in math, i could never retain what teachers where trying to teach in school with chalk bored methods, it would take me weeks to drill much more basic mathematics than this into my head using typical teaching methods but i pretty much retained and understand everything in this video in 9 minutes at worst watching it 1-2 more times would be perfect. Its amazing with videos like this i could learn everything from 1st-12th grade and on into collage level in less than a year by these standards i only wish i was about 10 years ahead so i could have had access to this stuff when i needed it most, textbooks and teachers did not cut it for me all i needed was the ability to have problems visualized in front of me in a clean simple manner at a pace i can handle with the ability to pause, rewind as i please. And i know i must not be the only person that was like myself that has found this way to be ten times more effective.
Exactly what I has been thinking about. I hated my math teacher and actually this hatred was mutual. And the same was in college. Now after about 4-5 years of not doing math at all and feeling an instant urge to learn things with this guy explaining everything so cheerfully I have eventually learnt a lot of things that I could not comprehend earlier in my life even in my native language
Vadim Shakin my math teacher was also terrible. my class can't understand him due to his poor use of the English language.
my teacher actually showed my class this channel
DID YOU GUYS REALLY READ THE WHOLE THING?!?!?!?!?!?!?!?!?!?!
@@happyyadav6950 yea...
75 minutes of my life wasted, 10 minutes of my life worth it! Thanks dude!
lol
Let the Trigonometry ritual begin: *SOH CAH TOA, SOH CAH TOA, SOH CAH TOA!!!*
SOH CAH TOA!!!!!!!!
SOH CAH TOA!!!!!!!!
SOH CAH TOA!!!!!!!!!!!
SOH CAH TOA!!!!!!!!!!!!!
SOB CAH TOA HAH😂😭
This guy is a genius.
+George Costanza this is nothing
Aweou awe I mean he is good at explaining things, not that I'm amazed by the depths of basic geometry.
George Costanza oh i see, yeah hes good at explaining it
+George Costanza COSTANZA!!!!!!!!!!!!!!!!
ikr
Shoutout to my brain for forgetting basic trig the night before the SAT
give us an update
Sejal I. Whoops! 1300 total, 680 reading 620 math. I jumped ship to the act this February and got a 33 composite with a 30 on the math section and a 34 on everything else
Katie Jones oh nice!
Sejal I. Thanks!!
@@katiejones4596 how to be like u
People studying this for their schoolwork... Meanwhile I'm here trying to figure all this out for my career in game development.
I'm here as a 13 year old trying learn calculus and later on quantum mechanics because I love stuff like this. Also maybe it'll be easier in the future. /:
lol.... You dont really need to know all of this for game development. I a game designer soooo... lol. However this knowledge does not hurt. I would say focus your attention to other areas in game development if you are new.
new? no. Trying to get a backend position for a game engine? yes.
nice :D. Hope things work out well for you :D
Its way too early for you to study calculus mate, stick with your middle school math nad later on highschool math. If u do it right, caclulus will be a piece of cake! Good luck :)
I learned more about trigonometry in this video than i did in math class.
+kyle john Meth*
what grade do you start to learn trigonometry?
@@pizzaplease6890 depends on what class u take, u learn it in geometry first
In my native language the analogue of "soh cah toa" would be "ppppp ppppp pppppp"
sin = przyprostokątna przeciwległa podzielona przez przeciwprostokątną
cos = przyprostokątna przyległa podzielona przez przeciwprostokątną
tan = przyprostokątna przeciwległa podzielona przez przyprostokątną przyległą
It's the best mnemonic technique. EVER!!!1
I feel like after reading this comment, I officially lost the authority to complain about anything in life.
cristixyz
Well nobody would ever use this ridiculous method. It's just opposite to useful. There's a chance that I was the first person to "invent" it at the time.
cristixyz
Complaining can be really useful sometimes, even if you're living a wonderful life with luxuries such as clean running water, food, sewage system, very advanced calculator, Internet access and plenty of toilet paper. There are plenty of uncolonized planets, stupid government policies, mosquitoes, poor people, adware and many other more or less important issues that require attention. :)
Telecorpse! Whoa! What language is that!?
you just stole the words off of my tongue !!
"its not that complicated"
*the playlist is 4+ hours long
you have like one of the best lesson tutorials here in YT, you're a life saver to be exact
S-some
O-old
H-horses
C-can
A-always
H-hear
T-their
O-owners
A-approach
This helped me to remember when I have to use sin,cos or tan.
trash
@@SalmanAli-wq9yt To you, not me.
@@SalmanAli-wq9yt how so
i have easy formula for this "some people have curly brown hair through proper brushes"
s=p/h c=b/h t=p/b
p=perpendicular b=base h=hypotenuse
s=sin c=cos t=tan
my sir told me the same but i forgot ty!
@@amna3669 Your "sir"?
12 YEARS LATER AND IT STILL HITS THAT SPOT🔥
PERFECTLY EXPLAINED! Good job man, you helped me in 9 minutes better than my teacher did in one semester.
Thank you so much! I finally understand!
Imagine if you had not followed your purpose to be such a blessing and great help to millions around the world...Thank you for the work you and your team continue to do.
i cried reading this
@intelincorporation LOL! Good one! I was taught:
SOH CAH TOA
Some Old Hippie - Caught Another Hippie - Trippin' On Acid.
:D
You could also say.
And this way is easier too.
.......
(Some =people/have )
(Curly =brown/hair )
(Through = proper brushing )
*for*
Sin =perpendicular/hypotenuse
Cos =base/hypotenuse
Tan =perpendicular/base
Woah
Khan, you are such a good teacher! I have felt good at math and now have confidence. The way you explain, use colors, and write out is helping perfectly.
This is super helpful. My professor jumped right into functions and I didn't even know what they really represented.
These are such a big help! I transferred schools and I was handed a bunch of work just to make up, and the teachers are helpful, but none of it made sense! Thank you so much!
Why didn't my Trig teacher in high school explain it to me like this... This makes soooo much sence now... I love you guys.
sense u mean
Perfect Balance Provides High Human Bonds
P B P
- - -
H H B
Sin, Cos, Tan, Cosec, Sec, Cot (Right to Left)
9 years later and people still use this video
I have a couple of questions. Someone, answer them please.
1.) Is it correct you only use these in generalizations, or is something else possible?
2.) Can you ever have an improper fraction or a mixed number?
3.) What would be the Adjacent over Opposite side length be called?
4.) Why is the Hypotenuse never a numberator, but always a denominator?
5.) Would a possible response to number 4 be 'The Pythagorean Theorem is A^2+B^2=H^2, which states the Hypotenuse is the longest side'?
Thanks!!!!!
I sat through this whole video despite knowing almost all of this. Amazing. Very easy to understand, clear, helpful...
"Some people have curly brown hair through proper brushing"
This one's much easier to understand.
Some people have: Sin=perpendicular/base
Curly brown hair:Cos=base/hypotenuse
Through proper brushing:tangent=perpendicular/base.
I love the way he always slowly repeats the occasional word.
You're far better than my school and tuition teacher.
thank you so much for uploading these, i studied chemistry and got an A+ thanks to your videos, i hope i will get a good mark from math too bcs my teacher doesn't want to practice with us and we have to do everything alone :( your videos are so helpful you have no idea
I love learning but I (almost) hate school. I've found Khan Academy to be much better than schools because unlike schools it:
1. Doesn't make learning a forced and boring task but instead makes learning fun and interesting.
2. Gives you a feeling of freedom over your education, no forced times and always available.
3. Doesn't always push you further but gives you time to go back and relearn what you've forgotten.
4. Allows you to learn what you want and doesn't force subjects onto you.
4.5. Is available for basically everyone with access to internet, no matter your age or where you live.
I have overall learnt more from schools, met more friends thanks to schools, received free food from schools and have gotten other things thanks to schools and for all those things I am thankful. If however you were to compare the amount of time I've spent at school and at Khan academy and then compare the ambition and knowledge I've received for each subject from them Khan academy is a much better alternative for my learning.
Can't express in words just how incredibly well you described this formula to me, has given me a great understanding of trigonometry, thank you.
i have a question, say we are finding the sin, tan, and cos for x, and angle x at the 90 degree angles, would the hypothesis also be the opposite or is there some rule for that? Thanks for the video Sal!
I actually knew how it worked, also I could solve the questions but I still thought that it would better if I had listen to you once, and it was as I thought. You amazingly can explain the complex information in simple form.
In my opinion this should be the new way of learning. Imagine how much people can learn in such a small amount of time. AND it saves money for the government it's a win win situation. But you need somebody like this guy which doesn't have a boring voice. :)
fun way for remembering SOH CAH TOA-
"some old hippie caught another hippie tripping over apples"
Ive got my maths test today, and my maths teacher thought it would be smart to skip this part and go straight into determining angles and sides, thanks Khan
The pain of studying for the ACT when you haven't even reached Trig yet...I think you have just saved my life, good sir.
Eventually, perhaps. But don't underestimate the effects of real-time interaction. Hands-on, person-to-person teaching is still perhaps the most effective method.
Anyone here during Quarantine?
yep
Constantly needing trigonometry for programming but was always mixing up the functions. This SohCahToa thing just saved my life, thank you so much
Hi,could you please say me how to find the values of sin,cos & tan degrees without using calculator?
the new mode of studying hard subjects hats off to the creator
what program are you writing with / thank you my class and i watch you in maths :D year 10 you are so helpful
my indian teacher taught me like this: some people have, curly brown hair, turned permanently black -------> sin = perpendicular/hyp, cos = base/ hyp, tan = perpendicular/ base; and i never forgot it ever since....
Thank you! I have a GED test this sat. and your videos are helping me learn fast and in a fun way! (because your kinda funny) Your lessons are greatly appreciated. Keep up the good work!
@kavalpatel23
That is when you have to use the unit circle definition to find the cos or tan of the right angle.
If you are curious, cos(90 degrees) = 0
tan(90 degrees) is undefined.
Nice video. I am trying to prepare for Trig in college next month. I barely passed Algebra. Never been good in understanding Math. I think i got this a little bit though. Maybe take a few times watching it to get it to absorb in my brain!
This is so helpful. I’m doing online learning and geometry is the hardest of them all. Thanks for making this easier for me and others.
That moment I learned more on khan academy then my teacher complaining at how their students should already know this because they showed one exampl
didn't get really what sine/cos/tan of an angle really means rather than they're ratios of sides, but for what is these ratios and their numerical values used for , whats their significant purpose regarding the triangle?? anyone pls
instead of SohCahToa my teacher taught us:
Some old hippie
Caught another hippie
Tripping on Acid
I remember that better :)
FINALLY. A simple explanation of cosine sine and tangent. THEY ARENT JUST BUTTONS ON MY CALC ANYMORE!
When Khan Academy makes math better than your teacher.....!
Like below if true
👇👇👇👇👇
@purplehaze216
The sin function is to be used with the angles inside the triangle, not the sides. Also, your calculator will probably calculate the ratio of the sides to give you the decimal value of what that ratio/fraction would be. To get a fraction from a TI-83 or similar calculator. press MATH-->ENTER-->ENTER.
why do we even have to learn this at school?!
frr 😂😭
Look at it this way:- Once you define the type of triangle, say 90 degree or 20 degree or whatever, you have fixed one angle. Now once you take one angle as theta, you have fixed ALL THREE ANGLES. Ie. now all such triangles in the world will be similar, and hence the ratio of their sides would be constant.
There is nothing mystical about 90 degree triangles more than that they are a lot more handy in engineering
Watching after 10 years 😂 , thanks sir 👍
I am proud of him Bcoz he is a Bangladeshi..and I'm also from the same country! Salute to you Salman
I came here to expand more my knowledge with the basics 😂
i SUCK at maths, but after this 9 minutes vid, i now understand
sin, cos and tan, clean and simple explanation, thanks!
I'm studying for the entrance exam here in the Philippines. Let's go kababayans!🇵🇭🇵🇭🇵🇭
I never thought that math could be this easy.... Thank you so much sir
why can't they show us this basic thing in class instead of making it complicated
Cus school is annoying and they like to make things complicated
This is the video that made me LOVE Trig, well math in general for the whole site. KhanAcademy is an amazing site. With other teachers I get the feeling that they just do not care at all. I do not get that feeling here. Great Stuff.
It's easier to remember Some old horses can always hear their owners approach
Sin is O\H
COS IS A/H
TAN IS O/A
@Jason Christensen lmao
The best mnemonics for remembering these trigonometric ratios is:
Some People have
Curly Brown hair
Through Proper brushing
Here the first letters of each phrase show the names of trigonometric ratios; sin, cos, tan
While the second and third letters of start show the sides of triangle; like first one perpendicular/hypotenuse
Second one base/ hypotenuse and third one is perpendicular/ base
Watched this for the test.Got a good grade in it,now forgot anything.
I was so afraid of the term trigonometry,but ...hey now I'm loving it!!!!
My finals are tommorow 💀
I passed :)
@@DustAnimosus Nice Job!!!
thank u for helping me understand my math assignments!! 💓
Can't believe I'm here now
I went back to your videos from 2007 and I can see the great improvement Mr. Khan has made making his videos
i get it but i dont
Thanks. You made it look easier. I couldn't even understand what's written in the math book...
I believe you are using a tablet, no human being has such good hand writing using a mouse
no, all khan academy teachers use a pc
@@allenleetableflip4807 wacom is a drawing tablet
@@allenleetableflip4807 how do yk lol? Have u seen them?
I've got three more questions. If you could answer them all, that'd be great.
6.) Could the angle you generalize be the right angle?
7.) If so, for number six, if it's true, then would the opposite and the Hypotenuse be one and the same?
8.) If so, for number six and seven, if they're true, then how would you determine what the Adjacent is?
do you still need the answers
Who's on here because their teacher can't teach?
me😂😂😂
Great job, I like the way you explained each problem. Thank you for dedicating your time to help others.
Thanks! Subscribed ! :)
Public education at its best...thnx for sharing [and to all who do a similar thing]
whose watching in 2018?! Anyone?!
This explaination is full easily to understand. thank you so much.
I'm sorry, when you said "pneumonic" in the video it really bothered me because it's spelled "mnemonic" and I don't see where you could have gotten the "u" sound from. Pneumonic means relating to pneumonia.
who cares, it's just a word, and this isn't English.
MELISSAPERRY
I learnt this by:
"Some people have curly brown hair through proper brushing"
Some people have: sin=perpendicular by hypotenuese
Curly brown hair: cos=base by hypotenuese
Through proper brushing: tan=perpendicular by base.
that's so cool😂😂😁😁
when you're cramming before a test that will determine if you will pass or fail for the semester and realize you should have come here months ago.....
The colors helps me super much. I already learned the basic, im just watching to solidify, and get it in with those colors. Math is way easier when its presented with pretty colors
Im Still confused Math is one tough subject man i hope i do all right on my placeMent Test
I love this man so much
get a better microphone
That was SIX years ago...
Trystan- *SEVEN
You guys are very helpful im passing my grades well thank you