# 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.

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