Visualization of trigonometric functions

Students always remember what are sin(θ) and cos(θ) on an unit circle, but what are the other trig functions? Here they are.
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[@Mhdightman]

This should be mandatory viewing in every trig class in public school. It connects everything together so much for me.

[@doubledonut9313]

I should remake this one, it is not very smooth

[@Mhdightman]

@@doubledonut9313 pls do!!

[@avonsayson105]

Yes, indeed!!

[@mach1553]

@@doubledonut9313 △ Put it on an interactive animated website. △ It is so valuable to study and learn from. △

[@nathanaelhahn4795]

Holy heck, I majored math in college, and NEVER came across such a visceral explanation of the trigs. The physicality of tan, sec, and csc are finally here! Thank you!

[@vincenzo3292]

Thank you. In all the years I have taken trig and calculus, no one has ever shown a visualization like this. I had no idea that tangent meant exactly that - it is tangent to the circle. Mathematics education is in a hole.

[@chandramohan-jh9uk]

After 25 years of college, I can understand this in visual meaning.. 👌👌

[@wallstreet497]

Remarkable , other people waste hours trying to explain these principles but you got it in just 2mn.

[@ManuelUlliac]

This is so far the most helpful video I ever saw about trig.

[@nzn9370]

I sincerely thank you. Thank for making this brilliant animation. It helps a lot .

[@MyPetsa]

Best video on visualizing trig functions!

[@kennithlambert2563]

Absolutely helpful in my quest to understand trigonometry functions / unit circle better .

[@simpleman283]

2:35 Now that is how you start to understand.
Awesome video.

[@MuhammadRaiskhan3347]

Lot thank to you. To understand first time trigonometric functions.

[@MA-zo3cm]

Thank you. You really helped me. I was wondering what the secant and cosecant were, but now I see it!

[@kattenelvis1778]

You are severely underrated

[@doubledonut9313]

Thanks

[@Cube_Box]

After I finish my trig course, ima rewatch this and understand what's actually happening
also great vid btw!

[@simpleman283]

The best 3 minutes on youtube.

[@menekse1759]

I love it! Thank you, it was quite helpful.

[@Astromath]

I even know another visualization for the tangens:
If you extend the "radius" of the unit circle while also drawing a line parallel to the y-axis with x=1 and x=-1, the y-coordinaten of the intersection of the radius with one of these lines is tan(Theta)

[@beautifulmath5361]

I made an animation showing this process you describe. It's here: ruclips.net/video/Dsf6ADwJ66E/видео.html

[@Tasarran]

I've seen that visualization. It isn't the best way to visualize tan(), IMO, because that line is no longer TANGENT to the circle...

[@loszhor]

Thank you for the information.

[@user-yh8ns3ok2p]

wow so amazing!

[@deppdep6696]

It is so beautiful

[@MilanToriyaZERO1CE]

Nicely explained @DoubleDonut

[@guywren4801]

Beautiful

[@siddhesh6942]

Amazing

[@DumDoger]

This helped a lot. Thanks!

[@adityarajeshwakade8279]

Science nerds who lost their teenage to studies, get high to deal with the trauma and watch this video to trip.

[@simpleman283]

Those that lost their teenage getting high are now watching this to learn what the nerds already know.

[@MA-xe8tm]

I love this

[@officialkhan9484]

That's the nice way to teach

[@Thyme2sea]

Thank you so much!

[@agraharipiyush]

Some good feelings.

[@saftheartist6137]

Thank you

[@ronak_here]

Thanks 🔥

[@386max1]

Nice video

[@crazychicken8290]

earned a subscriber

[@Rudra-go6us]

wow beautiful beautiful thank you are great

[@samburdge9948]

Great work....could you please do one in other quadrants.....just for reinforcement....Gods bless you

[@crazychicken8290]

ty

[@umi_nari]

tks

[@jatigre1]

I feel like my brain was flushed down the toilet and then plunged back in.

[@dracovet777]

Just like watching the triangles vibe

[@vladanmarkov6412]

how do you do theese visualizations? Great video btw :D

[@Ozblivion]

for some reason this keeps showing up in my music playlists and i don't know why

[@vincentlee2460]

How did you arrive for cotangent?

[@gigazerkertv]

It's like a ballet.

[@kstamps410]

Is it weird that that was cool.

[@elinesiobrito3333]

Quantum

[@lalitkapibhakt]

this is actula practical concept

[@matiarrahman6543]

Please give me the software name

[@dara_1989]

lovely 😘😘😘😘😘😘❤️❤️❤️🌹🌹

[@KeltorRochridge]

Wait but shouldn’t it be x/1=cos(Ø) because cosine is adjacent over hypotenuse?

[@KeltorRochridge]

Ohhh I got it. x is the whole long line which IS the hypotenuse on that triangle

[@user-pr6ed3ri2k]

1:36 sce

[@_cablewastaken]

1:32 what is sce

[@4040muqueem]

sce is short form of secant, which is inverse of cosine

[@_cablewastaken]

@@4040muqueem thats sec

[@MaricaAmbrosius]

So how come csc^2+sec^2≠(cot+tan)^2? Edit: no, wait, it does. Never mind.

[@cacabuggy6724]

How if the φ was 90°?

[@4040muqueem]

When (θ)is 90, sin(θ)will be one and cos(θ)will be zero.

[@dara_1989]

no visual , no math

[@narfharder]

know visual, know math 👍

[@donaldwilliams9848]

not trying to be a jerk about an otherwise stellar video but you really should fix the typo of "sec" at 1:27. To new students, this can create much confusion. Just sayin'