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Note: The following question follows a definite pattern. Observe the same and fill in the blank with suitable answer.
$$(0,0).\left(\frac{\pi}{6},\frac{1}{\sqrt{3}}\right),\left(\frac{\pi}{3},\sqrt{3}\right),\left(\frac{\pi}{2},\infty \right),\left(\frac{2\pi}{3},\sqrt{3}\right)$$, ___________
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