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The value of the expression $\tan (\frac{1}{2} \cos^{- 1} \frac{2}{\sqrt{5}})$ is

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Correct option is B

tan⁡12cos−1⁡25=1−cos⁡cos−1⁡251+cos⁡cos−1⁡25=1−251+25=5−25+2×5−25−2=(5−2)25−4=5−2

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The value of the expression tan⁡12cos−1⁡25 is

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The value of the expression $\tan (\frac{1}{2} \cos^{- 1} \frac{2}{\sqrt{5}})$ is