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Differentiate w.r.t. x: `(i)tan^(-1){sqrt((1+cosx)/(1-cosx))}" "(ii)tan^(-1){sqrt((1+sinx)/(1-sinx))}`

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Differentiate w.r.t. x:
`(i)tan^(-1){sqrt((1+cosx)/(1-cosx))}" "(ii)tan^(-1){sqrt((1+sinx)/(1-sinx))}`
A. `(x)/(2)`
B. `(-x)/(2)`
C. `(pi)/(2)+(x)/(2)`
D. `(pi)/(2)-(x)/(2)`
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Correct Answer - A
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