1.

The value of \(\sin^{-1} \dfrac{1}{\sqrt{2}}+ \sin^{-1} \dfrac{\sqrt{2}-\sqrt{1}}{\sqrt{6}} + \sin^{-1} \dfrac{\sqrt{3}-\sqrt{2}}{\sqrt{12}}+...\) upto infinity is equal to

A. π
B. \(\dfrac{\pi}{3}\)
C. \(\dfrac{\pi}{2}\)
D. \(\dfrac{\pi}{4}\)
Answer» D. \(\dfrac{\pi}{4}\)


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