TRIGONOMETRY Made Easy
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- čas přidán 14. 07. 2024
- Patreon: / floatymonkey
Discord: floatymonkey.com/discord
Instagram: / laurooyen
00:00 Triangle Naming Conventions
01:25 Trigonometric Functions (Sin, Cos, Tan)
02:40 Inverse Trigonometric Functions (Asin, Acos, Atan)
04:05 Advanced Trigonometric Functions (Sinh, Cosh, Tanh)
05:02 Overview
06:07 Unit Circle
12:18 Vectors and Trigonometry
15:05 Radians
16:30 Cosine Rule
Mistakes in this video:
02.31 | 8/10 = 0.8, not 0.5
18.10 | -2bd, not +2bd
#math #trigonometry
Please Calculus , please calculus
I was finally off work and could finish the video, man! This was a fantastic explanation. Thank you very much!
This channel is really underrated, the quality of the content is fantastic, thankyou for this video, it really helped
Thanks for the good content and production quality.
Two minor typos:
2:31 -> 8/10 = 0.8, not 0.5
18:10 onwards -> -2bd, not +2bd
Thanks for letting me know, I added it to the video description. Glad you enjoyed the video.
Thank you for this! I understood this more in minutes than in hours at school
Thank you for the wonderful video mate!
I thought trigonometry is hard but watching your video made me realize how easy it is.
Thank you! I hope you keep doing what you're doing! YOUR VIDEO DESERVES MORE VIEWS!
I think people will find this video easily if you change the caption to something like "Trigonometry for Game Development". Thanks for the awesome explanation
only God knows how great you were in this series, I learned from YOU more than I did with my teacher since he was born until his last day on the edge of the grave! thank you mannnnnn! I LOVE YOU!
Just give this man a nobel prize of explanation. Congrats you're the winner.
Man , truly thank you so so so so so so so so so much, like really, I think , I don't recall exactly but , I think this is the first time I see math like this, so clean , so understandable and with details too(allot of it) . math antics also gived me this view to math , man thank you so much 💐💐
Very useful video, thanks!
2:35 please correct the mistake it's .8 not .5
9:00 unit circle and the tangent. Graphical displays 9:45 sin and cosine waves. Calculate the values. Excellent graphic.15:42 RADIAN explanated and shown graphically. I finally understand the meaning of a radian.
Very informative ❤❤❤❤
I love how you teach
Good Explanation.
Thanks ❤
Great video
Although you could have covered the sine rule and CAST
Please make a video going through hyperbolic trigonometry!
How long do you think it takes me to make one of these videos? Drop your wild guess below.
Next week there will be even more triangles as we'll discuss how they make up 3D models in games.
FloatyMonkey I’m gonna say at least a week or two, these are so good my friend! Thank you!
It takes me approx 30 hours spread across a week. Also, a friend of mine (who's a math genius) takes his time to provide feedback or point out mistakes.
FloatyMonkey I’m doing my best to signal boost you on Twitter, this is great stuff
amount of effort to put out this video is insane...
At 8:47 when you talked about the tangent axis, I was like Aaha 😂😂.. something nobody talks about, takes it for granted. I couldn't fully understand it. But glad you explicitly mentioned it. Thank you. 🌹🌹🌹I stand clear now 😂
nice way to start trigonometry.
This video is great
This video is great. Love from 🇧🇩🇧🇩 Bangladesh.
The quality of this video is so ridiculously good, it could be a 3blue1brown video!
Sad to see that the CZcams algorithm apperantly didn't enjoy it as much as I did
thankss
Nice!
If you have come to take review of the video, then I will only say
Must watch💪
Quality content❤
Sir. Pls check 2:38 Cos(theeta)=8/10=0.80.
Sin/Cos=0.6/0.8=0.75
Things going over my head after half of the video. My question is how do you convert the quotient into degrees? Like when you divide the opposite by hypotenuse and get a result how it converts to an angle degrees in the triangle?
this makes my head aches lmao
What do you use for the animations?
Well,can anyone explain me?
Why does the graph at 11:55 of Sin, goes to +ve 1 to -ve 1.
It only goes to +ve 1 at 90°, only goes to -ve 1 at 270°.
Why so?
Cos ( theta ) = sin ( theta + π / 2 )
How to edit or making this kind of video?
Получается мы вывели теорему косинусов (что как оказалось - то же самое, что и теорема Пифагора) через теорему Пифагора, лол.
트라이앵글
울
안의
우리값이니라
17:20 expression to find the angle of alpha, how did the 2bc is in the denominator and is a positive? Where did the negative go from the original expression?
I just rewrote the formula myself to prove this is actually correct and to rule out there wasn’t another mistake with a minus like the one at 18:10 as stated in the description. Anyways, here goes.
a² = b² + c² - 2bc cos α
a² - b² - c² = -2bc cos α
(a² - b² - c²) / -2bc = cos α
The next steps answer your question. We multiply the fraction on the left with -1/-1 followed by a rearrangement of the terms in the numerator. This results in a minor simplification if you will.
(-a² + b² + c²) / 2bc = cos α
(b² + c² - a²) / 2bc = cos α
α = arccos ((b² + c² - a²) / 2bc)
@@FloatyMonkey "We multiply the fraction on the left with -1/-1". If you multiply -1/-1 on the left, shouldn't you also multiply it on the right too?
Technically yes, but if you simplify -1/-1 you get 1, and multiplying a number by 1 just gives the number itself. You might wonder why we bother with the -1/-1 to begin with. It's just a trick to 'simplify' the fraction on the left hand side i.e. remove the minus from the denominator.
Just had my math test earlier today... CZcams is mocking me
Calculus please 😭
Change trigonometry coordinates
we still can't solve the integral of some basic mathematical functions
For example, although we can calculate the result of the integral e^sin(x) dx numerically, we cannot express it symbolically. Mathematics is not a science, it is a language. #math #mathematics #integral #sinus #cosinus
please calculus i beg