Is this correct and enough proof

is true so i put 1 and its true now ima prove for

now we can rewrite that ^k with a formula i cant remember as

and now i foctour out cos x and sin x

is this enough :)

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- November 9th 2012, 02:58 AMPetrusinduction proof of de moivres formula
Is this correct and enough proof

is true so i put 1 and its true now ima prove for

now we can rewrite that ^k with a formula i cant remember as

and now i foctour out cos x and sin x

is this enough :) - November 9th 2012, 05:06 AMHallsofIvyRe: induction proof of de moivres formula
You "can't remember"? You just wrote it two lines above!

For n a positive integer, yes, that**will**be a valid proof once you use trig identities to show how you got from to .

DeMoivre's formula is true for n any number, of course, not just positive integers. It would think the simplest way to prove it is to use the fact that .