Hello.... I need to prove the following set is algebraically independent... I donīt have no idea how to do it. Please help me!!

$\displaystyle ${cos(x), cos(\sqrt{2} x), cos(\sqrt{3} x)}$$

regards!

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- Dec 1st 2012, 03:59 PMorbitalgebraically independent
Hello.... I need to prove the following set is algebraically independent... I donīt have no idea how to do it. Please help me!!

$\displaystyle ${cos(x), cos(\sqrt{2} x), cos(\sqrt{3} x)}$$

regards! - Dec 1st 2012, 06:52 PMjakncokeRe: algebraically independent
Algebraically independent over which field ?

- Dec 1st 2012, 08:14 PMorbitRe: algebraically independent
Over $\displaystyle $\mathbb{R}$$ I guess. My worksheet doesnīt say it :(