From the center $C$ of hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ , perpendicular $CN$ is drawn on any tangent to it at the point $P\left(a\sec \theta ,b\tan \theta \right)$ in the first quadrant. Find the value of $\theta$ so that the area of $CPN$ is maximum.

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