If circumcentre of an equilateral triangle inscribed in \( \frac{x^...

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If circumcentre of an equilateral triangle inscribed in \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \), with vertices having eccentric
\( \mathrm{P} \)
W angles \( \alpha, \beta, \gamma \) respectively is \( \left(x_{1}, y_{1}\right) \), then find \( \Sigma \cos \alpha \cos \beta+\Sigma \sin \alpha \sin \beta \).
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