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Title: Nice exercise
Post by: Yoni on September 16, 2006, 04:07 PM

http://mathworld.wolfram.com/AlgebraicNumber.html

Prove that if r is a rational number, cos(r * pi) is an algebraic number. What is its degree? What are its conjugates?

Title: Re: Nice exercise
Post by: Maddox on October 25, 2006, 12:05 AM

Quote from: Yoni on September 16, 2006, 04:07 PM
http://mathworld.wolfram.com/AlgebraicNumber.html

Prove that if r is a rational number, cos(r * pi) is an algebraic number. What is its degree? What are its conjugates?

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Member Forums => Yoni's Math Forum => Topic started by: Yoni on September 16, 2006, 04:07 PM