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Prove that:tan^(-1)sqrt(x)=1/2cos^(-1)((...

Prove that:`tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)), x in [0,1]`

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Given that,
`tan^-1(sqrtx) = 1/2 cos^-1((1-x)/(1+x))` , `x in (0,1)`
L.H.S
`tan^-1 (sqrtx) = 1/2 [2tan^-1 sqrtx]`
...
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