Complex number 3!

Geometry Level 4

The distances of the roots of the equation \(|\sin \theta_1|z^3 + |\sin \theta_2|z^2 + |\sin \theta_3|z + |\sin \theta_4| =3 \), from \(z=0\) are greater than \(\dfrac p q\), then find \(p+q\)

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