1.

What is the derivative of `sqrt((1+cosx)/(1-cosx))`?A. `(1)/(2)sec^(2).(x)/(2)`B. `-(1)/(2)"cosec"^(2_.(x)/(2)`C. `-"cosec"^(2).(x)/(2)`D. None of these

Answer» Correct Answer - B
Let `y = sqrt((1+cos x)/(1-cos x))=(sqrt(2)"cos"(x)/(2))/(sqrt(2)"sin"(x)/(2))="cot"(x)/(2)`
`(dy)/(dx)=-"cosec"^(2)(x)/(2).(1)/(2)=-(1)/(2)"cosec"^(2)(x)/(1)`


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