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\frac{1}{2} \sin^{- 1} (\frac{x}{y}) = ?

\tan^{- 1} (\frac{x}{y + \sqrt{y^{2} - x^{2}}})

\tan^{- 1} (\frac{x}{x + \sqrt{y^{2} - x^{2}}}

\tan^{- 1} (\sqrt{(\frac{y - x}{y + x}))}

t {an}^{- 1} (\sqrt{(\frac{y + x}{y - x}))}

2 \tan^{- 1} (\frac{x}{y + \sqrt{y^{2} - x^{2}}})

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