The Easiest Way to Memorize the Trigonometric Unit Circle

Comments · 308

• UM

  @uman-ln4jn · 1 year ago

  I dont get it

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• GE

  @genevalley5083 · 6 years ago

  Thank you.  After 30 years and no degree from UC Irvine, I understand this better.  I opened my original calculus book and I'm going through all of it again now.  Your video helps greatly!

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• MI

  @michaelstewart1526 · 2 years ago

  "just stare at this, until it makes sense"....i love you

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• JD

  @JDuba · 1 year ago

  <a href="https://www.youtube.com/watch?v=75dMcyCUo2g&amp;t=434">7:14</a> &quot;Just stare at this until it makes sense&quot; <br>Weirdly enough, this worked

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• RA

  @rainerpour2501 · 6 years ago

  I wish math teachers used these methods around the world; we would still have math haters; but those who really wanted to learn would have a much easier time.

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• HE

  @hemal6437 · 5 years ago

  After a long 17 years of life thinking that Maths is hard , You Made it A piece of cake , THANK YOU DAVE , For teaching us .

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• AN

  @AnneYizzler · 7 months ago

  So guys, the unit circle is js a circle w/ radius=1 and its origin is (0,0)<br><br>The x-coordinate(horizontal)= cos<br>The y-coordinate(vertical) = sin<br><br>The circle&apos;s split into 4 (1&apos;s upright)<br>(Then Follow Counterclockwise)<br>Quadrant 1 - ( +, +) <br>Quadrant 2 - ( - , &nbsp;+)<br>Quadrant 3 - ( &nbsp;-, &nbsp;-)<br>Quadrant 4 - ( &nbsp;+, -)<br><br>Why? Bc im cartisian plain<br> X-axis follows right&amp;left where <br>Right = positive(+)<br>Left = Negative(-)<br><br>Y-axis follow up&amp;down where<br>Up - Positive(+)<br>Down - Negative (-)<br><br><br>(Remember SOH, CAH, TOA)<br><br>So in a triangle,<br>The X coordinate will be: x = cos &nbsp; <br>COS = ADJ/HYP<br><br>The Y coordinate will be: y = sin<br>SIN = OPP/HYP<br><br>Using ts in an example:<br>If we have an angle of 30 in a triangle, its opposite(the side the angle&apos;s facing) is 1 and hypotenus(longest side) is 2 and Adjacent(the side beside) is root of 3 (imma use [3]) then..<br><br>X = Cos<br>Cos = Adj/Hyp<br>Cos = [3]/2<br>X = [3]/2<br><br>Y = Sin<br>Sin = Opp/Hyp<br>Sin = 1/2<br>Y = 1/2<br><br>So (x,y) =(Cos,Sin) = (([3]/2), (1/2))<br><br>U guys can easily remember the unit cirle if yknow the 1st quadrant.

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• TH

  @thefunbuns1 · 5 years ago

  Your visualization method just made this click for me. I&apos;m studying up because I&apos;m going back to school as an ex-dropout and have to take Calc 2, but I&apos;m so rusty. I used to draw the unit circle on all my tests in AP Calc to help but after watching this I could actually do this in my head, I am blown away

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• MA

  @mahendraify · 8 years ago

  Very nice..!!!<br><br>Ur voice is so mesmerizing.

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• BE

  @besisis1308 · 5 years ago

  thank uuuuu. it has helped a lot in geometry a few years ago and pre-calculus this year!!! keep up the great work! &lt;3

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• FU

  @fuelknightmare · 4 years ago

  I can&apos;t wrap this concept around my head 😭😭😭

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• SP

  @Spetsgruppa_Vympel · 6 years ago

  Ahhhhh Professor Dave saves trigonometry students again

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