`cot^-1 [(√1+sin x + √1 - sinx)/(√1+sin x - √1-sin x)]`

int(1-sin x)/(sin x(1+sin x))dx

Prove that cot^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) = (x)/(2), x in (0, (pi)/(4))

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

The value of (sqrt(1 + sin x )+sqrt(1 - sin x))/(sqrt(1 + sin x )-sqrt(1-sin x)) is equal to

Prove the following: cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]=(x)/(2);x in(0,(pi)/(4))

Prove the following: cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]=(x)/(2),x(0,(pi)/(4))

If y=cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))](0

Prove that: *cot^(^^)(-1){(sqrt(1+sin x)+sqrt(1-sin x)/(sqrt(1+sin x)-sqrt(1-sin x))}=pi/2-x/2,| ifpil 2

(cos x)/(1-sin x)=(1+cos x+sin x)/(1+cos x-sin x)

cot^(-1)((sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x)))=(x)/(2)