If `y=tan^(-1)sqrt(((1+sinx)/(1-sinx))),(pi)/(2)ltxltpi,` then `(dy)/(dx)` equals to

int tan^(-1)sqrt((1-sinx)/(1+sinx))dx.

sqrt((1+sinx)/(1-sinx))=tan(pi/4+x/2)

(d)/(dx)[tan^(-1)sqrt((1+sinx)/(1-sinx))]=

If y=tan^(-1)((1-cosx)/(sinx)), then (dy)/(dx) is

If y=tan^(-1)((1-cosx)/(sinx)), then (dy)/(dx) is

If y=tan^(-1)((1-cosx)/(sinx)), then (dy)/(dx) is

If y=tan^(-1)((1-cosx)/(sinx)), then (dy)/(dx) is

If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))] , where 0lt xlt(pi)/(2), then (dy)/(dx) is equal to

Differentiate the following functions with respect to x : tan^(-1){sqrt((1+sinx)/(1-sinx))},-pi/2ltxltpi/ 2

If y(x) = cot^(-1) ((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))), x in ((pi)/(2), pi) , then (dy)/(dx) at x=(5pi)/(6) is :