algebraically independent

• Dec 1st 2012, 04:59 PM
orbit
algebraically independent
Hello.... I need to prove the following set is algebraically independent... I don´t have no idea how to do it. Please help me!!

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

regards!
• Dec 1st 2012, 07:52 PM
jakncoke
Re: algebraically independent
Algebraically independent over which field ?
• Dec 1st 2012, 09:14 PM
orbit
Re: algebraically independent
Over $\mathbb{R}$ I guess. My worksheet doesn´t say it :(