" (1) tenit "sqrt((1+sin x)/(1-sin x))" wret "arctg(sin x+tan x)

f(x)=tan^(-1)sqrt((1+sin x)/(1-sin x))

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

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

Prove that sec x+tan x=sqrt((1+sin x)/(1-sin x))

Prove that sec x+tan x=sqrt((1+sin x)/(1-sin x))

Differentiate w.r.t x : tan^-1{(sqrt (1+sin x) + sqrt (1-sin x))/(sqrt (1+sin x) - sqrt (1-sin x))}, 0 < x < pi/2

Differentiate y with respect to x, where [y= tan^-1 { sqrt(1+sin x) + sqrt(1- sin x)} / {sqrt (1+ sin x) - sqrt(1- sin x)}]

(cot^(-1){sqrt(1+sin x)+sqrt(1-sin x)})/(sqrt(1+sin x)-sqrt(1-sin x))

cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]=