Super hexagon for trigonometric II trigonometric ratios

Super hexagons are diagrams that help you memorize trigonometric identities, such as Pythagorean, reciprocal, product/function, and co-function.
There is something special about this hexagon
to help you remember some Trigonometric Identities
follow "around the clock" (either direction) to get all the "Quotient Identities":
Clockwise
tan(x) = sin(x) / cos(x)
sin(x) = cos(x) / cot(x)
cos(x) = cot(x) / csc(x)
cot(x) = csc(x) / sec(x)
csc(x) = sec(x) / tan(x)
sec(x) = tan(x) / sin(x)
Counterclockwise
cos(x) = sin(x) / tan(x)
sin(x) = tan(x) / sec(x)
tan(x) = sec(x) / csc(x)
sec(x) = csc(x) / cot(x)
csc(x) = cot(x) / cos(x)
cot(x) = cos(x) / sin(x)
and many more
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[@danielward1629]

I’m so lucky that I have found this channel at the early stage of my classes. You are the best tutor ever. Thanks👌👍👍👍

[@lilianadonato5107]

It deserves to be called " Super Hexagon "... Wonderful presentation

[@Alfons534]

Best channel to learn and understand all subjects. The channel will be much bigger in future

[@Philipp350]

Best video ever on KZbin to understand the all identities really well. Very good keep it up 👍👍👍

[@yanonino7281]

I love this explanation. I clearly understand every concept. thank you

[@Lia53469]

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[@bernier3245]

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[@kashvi2040]

This really helped me when I didn't understand my modules. It's easy to understand and very simple.

[@crystalbeagley631]

I'm literally in love with this channel it's amazing, it solved a lot of my problems and now it's easy to learn... Thanks

[@Frieda615]

I actually love this video. not only is the mnemonic extremely useful, but the repetition is great.

[@Adelheid50]

This was the most and best helpful method to learn trigonometry! Thank you so much guys , it's very useful!👍

[@Gretchen183]

It shouldn’t be called Super Hexagon, instead it should be called Incredible, Extraordinary, Mindblowingly helpful, Super Hexagon.. Absloutely loved the video. Thank you so very much..😀👍

[@Isidor474]

Thanks a lot ☺ a great video that learned all the formulas so well

[@hazel1499]

Excellent explanation! Tremendous help.

[@easymaths2022]

Thank you

[@heathermartin4479]

Thank you so much. This teaching is greatly appreciated

[@Dagobert600]

Thank you very much! I can't express how grateful I am! ❤Love it so much! It's amazing how easily so many formulas can be learned!!!

[@milotheodore1878]

Fantastic! Brilliantly simple and so useful. Great work!

[@easymaths2022]

Thank you

[@abenaadowa9211]

i wish i could have found something like this as a kid. thanks for this mam.

[@easymaths2022]

Thank you

[@Gunda252]

Very detailed explained 🔥 Nice 👍

[@Aurel469]

Where was this wonderful lecture hidden???

[@Magdalena78956]

This was so helpful! Thank you so much.

[@anonymouslyforgotten5592]

YOU CAN USE THIS WITH DERIVATIVES! Though its a bit difficult to see, there are some noticeable patterns. Once i noticed these, I haven’t had trouble with these derivatives at all! You’re not gonna understand without writing it out. Its a bit complicated at first glance, but simple when you understand it. I just drew the hexagon (without the edges, only the lines in between. It looks like a x with a horizontal line) 1. Search up the trig derivative online. Write them down across a page. 2.Then under each function, draw the hexagon thing 3. trace a line from the trig to derivative using a different color pen. Do you notice the patterns? Take a moment to study it for yourself. Anyway, hopefully you understand this: I found these patterns: Obtuse angles create fractional derivatives, Accute angles create singular or multiplication derivatives Following the inner lines left into the center and out, will give negative derivatives. Following the inner lines right into the center and out, will give positive derivatives. Csc and sec repeat themselves in their derivatives. The derivative angles on the left are opposite of those on the right. Ex: following the inner lines, draw a line from tan to it’s derivative 1/cosx. The line went right in a obtuse angle, so it’s solution is a positive fractional derivative. Ex2: following the inner lines, draw a line from cot to it’s derivative -1/sinx The line went left in a obtuse angle, so it’s solution is a negative fractional derivative. The angle is opposite to tangent. Ex3: following the inner lines, draw a line from sin to it’s derivative: cosx. The line went right in a acute angle so the solution is a positive singular or multiplication derivative. Ex4: following the inner lines, draw a line from cosx to its derivative -sinx The line went left in a acute angle, so the solution is a singular or multiplication derivative. The angle is opposite to sinx. Ex5: draw a line from secx to to tanx (not the derivative) The line goes right first, and is a acute angle, so the derivative is positive multiplication. Since it is sec, it’s repeated. So, the derivative is Secxtanx. Ex6: draw a line from csc to cot (not it’s derivative) The line goes left first so the derivative is negative multiplication. Since its csc, it is is repeated. So the derivative is cscxcotx. Haha, I did not explain that very well, so I encourage you to try figuring this out yourself! The pattern could probably be simplified a bit. For instance, it’s better to say the top accute angles are singular while the bottom accute angles multiply something by themselves. But whatevs! I wish you the best of luck!

[@vascobishop3359]

Brilliant!

[@animeworld9081]

love you so helpful

[@nancy1196]

thanks for the video, also good explanation!

[@easymaths2022]

Thanks

[@TechWalks1]

Thanks For This Outstanding Video 😍

[@easymaths2022]

thank you

[@GiantxMonster]

Op!

[@areeshazahid8238]

Iam a med student but after watching this I think I may know more formulas then my engineer friends😂 .

[@jagyandattasahoo644]

Video on this topic has been made by don't memorize 8years ago😂

[@flavienne2120]

Excellent explanation! Tremendous help.

[@easymaths2022]

Thank you