NO ANGLES! || JUST PATHAGOREAN THEOREM! || TO SOLVE STATICS PROBLEM!

[@error404-GT]

" hell yeah" - iconic ❤

[@varunpratap6816]

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[@petihundeuhun8950]

OMG! Just by reading the title I immediately recognised that this video is for me! You made me smile man! 😃😁 That is what I wanted! It is a special "early christmas" gift from you! I can not stress enough how happy you made me! 2+ hours statics with advanced geometry. Amazing! I told you that we are not allowed to use calculator on the exam here at my uni in Germany (my nationality is Hungarian but I live in Germany) and I needed some more practice on geometry/trig... By the way I have been thinking for the last week on what methods I could use if there is no calculator. I would love to here your opinion about it, maybe you can correct me: It is almost certain that we are going to get some well known degrees for simple calculation purposes (sin/cos (15,30,45,60,75)). These can be written in the well known square root fraction form to be able to us algebraic manipulations. So far so good. If we are going to have sides but no specific angle, then the pythagorean theorem and geometry comes into play. We can express the angles not in particular degrees but in ratio of the sides. For example with pythagorean theorem we can calculate (or write in square fraction form) the sides and then express for example "tan/cos/sin (theta)". An example: We calculated the sides by using trig and geometry. We now have the sides expressed for example "a= 1; b=2; c=sqrt(5)". Now we can express the angles by writing "cos (theta) = 1/sqrt(5)" and so on. In the equations we have now again the square root fraction forms, so algebra comes into play. I think more advanced things won't come into play, considering the audience will be "kids", not pro engineers. 😄. But! I was thinking more and more to the point that I got addicted with the Idea, what If I want to calculate ANY ARBITRARY angle on a statics problem, not just the well known ones, because those are easy, we can express them in square root fraction form. What If I have a statics problem involving an angle of 17.2 degrees? Or 27.8 degrees? These can not be written in algebraic form. And again, the main pont here is that I do not have a calculator! I started searching for the solution or some method and I came across the "Taylor Series or Taylor Expansion method for sinx/cosx". With that method I could approach a relatively accurate value for sinx or cosx by hand (the hand calculations are a bit advanced here but it is possible) and than using that value for the followings... What dou you think? Thanks again for the vid, after my Earl Grey Tee is done, I am gonna dive into it!🤩🤠🤠

[@holdmybipolar]

I am going to make a video on that angles that know. I almost refuse to memorize the angles related to the square roots because they don't mean much to me unless I know there decimal equivalents. Which I am getting better at. The video may include linear approximation. The decimals that I know currently is sin(30) is .5 and anything between is sin(0) to sin(30) is just a linear approximation of .5....Then I know that sin(45) is .707 (i think 007 james bond for some reason)...then sin(60) is .866 I know this to be about 85% or even 100% when guessing at problems. But if i know sin(45) is about .7 and sin(60) is about .85....there is 15 degrees or 3 packs of 5 degrees between 45 and 60 and there is .15 or 3 packs of .05 between .7 and .85. So that is 2 more easy ones that sin(50)=.75, sin(55)=.8 because approx: sin(45)=.7 sin(50)=.75 sin(55)=.8 sin(60)=.85. That video will also include linear approx between sin(0) and sin(30) Answering the question of if sin(30)=.5 what is angle for .4 So to go from 30 degrees I minus 6.5 to get 23.5=.4 then minus 6.5 to get 17=.3 then minus 6 to get 11=.2 then minus 5.5 to get 5.5=.1 This could be simplified to minus 7 minus 6 minus 6 minus 6 minus 5 Going the other way 30 + 7 =.6 which is a 3,4,5 triangle... then +8 is 45=.7 This is building intuition of how much angle change will make a change in sin of that angle of 0.1 multiple...

[@petihundeuhun8950]

​@@holdmybipolar WOW! Linear approximaton. Genius! Sometimes I think too complicated about problems. Many says that engineers tend to think too complex even on basic questions or problems because they are sensitized to it throughout college years. Lot of hard concepts they will never or rarely use. I look forward to that vid, I really got interested with your concept!😊