How Is Trigonometry Related To Polynomials?
Algebra
Level
5
\[ f(x)=x^8-x^6+x^4-x^2+1\]
Let \(a=p+qi\) be a root of the above polynomial where the imaginary part \(q\) is maximal (over all roots). Write \(q=\sin(t)\) for a positive acute angle \(t\), measured in degrees.
Enter the minimum value of \(t\) as your answer.
by
Otto Bretscher