MathDB

11

Part of 1996 AIME Problems

Problems(1)

Complex #'s Fun

Source:

12/21/2005
Let PP be the product of the roots of z6+z4+z3+z2+1=0z^6+z^4+z^3+z^2+1=0 that have positive imaginary part, and suppose that P=r(cos⁡θ∘+isin⁡θ∘),P=r(\cos \theta^\circ+i\sin \theta^\circ), where 0<r0<r and 0≤θ<360.0\le \theta <360. Find θ.\theta.
trigonometryAMCAIMEcomplex numbersCyclotomic Polynomials