" 17."tan^(-1)sqrt((1+sin(x)/(2))/(1-sin(x)/(2)))

Tan ^(-1) (sqrt ((1 - sin x )/( 1 + sin x )))

If y= tan ^(-1) sqrt (( 1 - sin x)/( 1 + sin x)) , then the vluae of (dy)/(dx) at x = pi /2 is

If y=tan^(-1) [(sqrt(1+sinx)-sqrt(1-sin x))/(sqrt(1+sin x)+sqrt(1-sin x)]] where 0 lt x lt pi/2 find (dy)/(dx)

Differentiate tan^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) w.r.t.x .

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

sin^(2)(2tan^(-1)sqrt((1+x)/(1-x)));|x|<1=

If x in(pi,(3 pi)/(2)) then the value of tan^(-1)((sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sqrt(1+sin x)))

If x=sin(2tan^(-1)2sqrt3)and y=sin((1)/(2)tan^(-1).(12)/(5)) , then