# Don't try to find the unknowns...

Algebra Level 4

If $${\theta}_{1},{\theta}_{2},{\theta}_{3} and {\theta}_{4}$$ are four real numbers,then any root of the equation(where $$z$$ is a complex number):

$$sin {\theta}_{1}{z}^{3} + sin {\theta}_{2}{z}^{2} + sin {\theta}_{3}z + sin {\theta}_{4} = 3$$

lying inside a unit circle $$\left| z \right| = 1$$, always satisfies the inequality :

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