Identity NO. 4 : Square root “sequence” of 2

30Dec07

Reading some of the Lev Kourliandtchik books, I’ve found, kindy tricky observation how to write extreamly simple, this giant

with number of square roots.
It’s easy to dubunk that
and using that equality we have

cool, huh?

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Tags: 2, cos, cosinus, form, Identity, roots, sequence, short, square

Identities NO. 3 : Trigonometric

30Dec07

For , we do have

\
Trigonometrics

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Tags: Identity, tangent, triangle, trigonometry

Identities NO. 2 : Algebra, some Euler’s work

11Nov07

First identity comes from Lebesgue:

and the second one from Euler:

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Tags: algebra, euler, Identity

Identity NO. 1 : Algebra

18Sep07

Today used all my fuel resources for the next week. But lucky in Katowice I’ve learned something extremely beautiful.
Truth is the following identity:

Pretty cool, huh?
It’s easy to get from the right side to the left side, but the inverse way doesn’t look that easy.
But it is J. All you got to do is [...]

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Tags: algebra, Identity, math, mathematic