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Question

Given $0 \leq x \leq \frac{1}{\sqrt{2}}$, then the value of $ \tan \left[ \sin^{-1} \left( \frac{x}{\sqrt{2}} + \frac{\sqrt{1 - x^2}}{\sqrt{2}} \right) - \sin^{-1} x \right] $ is:

$\sqrt{3}$

$\frac{1}{\sqrt{3}}$

1

-1

Solution

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