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Nice proof. Don't hold back at the end; state that your corollary requires a proof of its own. This is where textbooks say that the exercise is left for the reader 🙂.
I mean, by definition, no?
well the definition doesn't necessarily always exist without proof for such definition.
I always thought it was defined as sin/cos? Or am I wrong here?
gangsta!
Sorry dude but the relation between the arctan x and x using exponentials is due to the fact that sin/cos(x)=tan x
He linked in the description to the video where he proved that relation -- only from the sequence-definitions of exp and arctan.
gracias
Awesome stuff, man. Now prove the Hodge conjecture! :D
Nice proof. Don't hold back at the end; state that your corollary requires a proof of its own. This is where textbooks say that the exercise is left for the reader 🙂.
I mean, by definition, no?
well the definition doesn't necessarily always exist without proof for such definition.
I always thought it was defined as sin/cos? Or am I wrong here?
gangsta!
Sorry dude but the relation between the arctan x and x using exponentials is due to the fact that sin/cos(x)=tan x
He linked in the description to the video where he proved that relation -- only from the sequence-definitions of exp and arctan.
gracias
Awesome stuff, man. Now prove the Hodge conjecture! :D