\[\tan \left[ \frac{1}{2}{{\cos }^{-1}}\left( \frac{\sqrt{5}}{3} \right) \right]=\] [Roorkee 1986]

\[\tan \left[ \frac{1}{2}{{\cos }^{-1}}\left( \frac{\sqrt{5}}{3} \righ

1.	\[\tan \left[ \frac{1}{2}{{\cos }^{-1}}\left( \frac{\sqrt{5}}{3} \right) \right]=\] [Roorkee 1986]
A.	\[\frac{3-\sqrt{5}}{2}\]
B.	\[\frac{3+\sqrt{5}}{2}\]
C.	\[\frac{2}{3-\sqrt{5}}\]
D.	\[\frac{2}{3+\sqrt{5}}\]
Answer» B. \[\frac{3+\sqrt{5}}{2}\]

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\[\tan \left[ \frac{1}{2}{{\cos }^{-1}}\left( \frac{\sqrt{5}}{3} \right) \right]=\] [Roorkee 1986]

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