The Beauty Of Complex Inequalities

Geometry Level pending

If \(sin \theta_1z^4+sin \theta_2z^3+sin \theta_3z^2+sin \theta_4z+sin \theta_5 \)=2 then |z|>3/k .Find k if it is an integer.

P.S:All the sines lie in the range \([0,1/2]\)

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