`(sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A))` If `|tan A| < 1`, and` | A I`

Find the value of (sqrt(1+sin 2A)+sqrt(1-sin 2 A))/(sqrt(1 + sin 2A)-sqrt(1-sin 2 A)) , When |tan A| lt 1 and |A| is acute.

Find the value of (sqrt((1+sin 2A))+sqrt(1-sin 2A))/(sqrt(1+sin 2A)-sqrt(1-sin 2A) when abs(tanA)lt1 and absA is acute.

If |tanA|lt1and |A| is acute, then (sqrt(1+sin2A)+sqrt(1-sin2A))/(sqrt(1+sin2A)-sqrt(1-sin2A)) is equal to

If -(pi)/(4)lt A lt (pi)/(4) , then (sqrt(1+sin 2 A)+sqrt(1-sin 2 A))/(sqrt(1+sin 2 A)-sqrt(1-sin 2 A)) is equal to

The value of (sqrt(1+sin A)+sqrt(1-sin A))/(sqrt(1+sin A)-sqrt(1-sin A)) (When |Tan(A)/(2)|lt1 and |(A)/(2)| is acute) is

If |tanA|<1 and |A| is acute, then (sqrt(1+sin2A)+(sqrt(1-sin2A)))/(sqrt(1+sin2A)-(sqrt(1-sin2A))) is equal to

2 (sin A) / (2) = - sqrt (1 + sin A) -sqrt (1-sin A)

int_(0)^(pi//2)tan^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]\ dx

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