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Oct 23, 2010
(Released by the author under the Creative Commons Attribution-NonCommercial-NoDerivs 2.0 Generic license.)
Oct 20, 2010
Maths question of the day
(AKA, someone help me with my homework)
prove that:
Cos(2x) = (1-tan^2 x) / (1+tan^2 x)
cos(2x) = cos^2 x - sin ^2 x
= (cos^2 x - sin ^2 x) / 1
= (cos^2 x - sin ^2 x) / (sin ^2 x + cos^2 x)
From this point, divide the top and bottom expressions by cos^2 x (this is equivalent to multiplying by cos^2 x / cos^2 x = 1) and then remember that
tan x = sin x /cos x.
(Source: youngandnative)
Oct 18, 2010
Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful. If you don’t see why, someone can’t tell you. I know numbers are beautiful. If they aren’t beautiful, nothing is.Paul Erdõs (via fantasyshoppinglist)
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