18 Aug
2009
18 Aug
'09
11:57 a.m.
On Tue, 18 Aug 2009, Warut Roonguthai wrote:
Is there a polynomial that we can associate to the fact that
tan(3*pi/11) + 4*sin(2*pi/11) = sqrt(11)?
How about x^2 - 11? Using Maple 13: r:=tan(3*Pi/11) + 4*sin(2*Pi/11): simplify(r^2); 11 By the way, applying PolynomialTools[MinimalPolynomial] to a numerical approximation of r yields the polynomial x^2 - 11. I.e., PolynomialTools[MinimalPolynomial](evalf(r),4); -11+_X^2