Show that there is no complex number such that
`|z|le1/2 and z^(n)sin theta_(0)+z^(n-1)sintheta_(2)+....+zsintheta_(n-1)+ sintheta_(n)=2`
where `theta,theta_(1),theta_(2),……,theta_(n-1), theta_(n)` are reals and ` n in Z^(+)` .

Explanation

To show that there is no complex number \( z \) such that \( |z| \leq \frac{1}{2} \) and

\[ z^n \sin \theta_0 + z^{n-1} \sin \theta_1 + \ldots + z \sin \theta_{n-1} + \sin \theta_n = 2 \]

where \( \theta, \theta_1, \theta_2, \ldots, \theta_n \) are real numbers and \( n \in \mathbb{Z}^+ \), we can follow these steps:

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