Recent content by Cardinal

  1. C

    Undergrad A close approximation for square root of 2.

    nice I like that with e\pi-\pi I accidentally found \sqrt{79}=8.888194417... which I like to say/present as \sqrt{69+10} but I don't think these things are coincidental , probably we have a lot more to learn.
  2. C

    Undergrad Algebraic proofs of trigonometric identities

    [SIZE="2"]I think the following is what you're looking for... so x1=cosβ; y1=sinβ; x2=cosα; y2=sinα distance between M1 and M2 is: d2=(x2-x1)2+(y2-y1)2=(cosα-cosβ)2+(sinα-sinβ)2=cos2α-2cosαcosβ+cos2β+sin2α-2sinαsinβ+sin2β=2-2cosαcosβ-2sinαsinβ Now let's make a coordinate system...