IITJEE Mains (Offline) 2016

Geometry Level 3

Consider \(f(x)=\tan^{-1}\left(\sqrt{\dfrac{1+\sin x}{1-\sin x}}\right),x\) belongs to \(\left(0,\dfrac{\pi}{2}\right)\) . A normal to \(y=f(x)\) at \(x=\dfrac{\pi}{6}\) also passes through the point \(\text{__________} \).

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