`sqrt(1-sin x)` x `sqrt(1-sin x)`

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))

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

If y=(sqrt(1-sin4x)+1)/(sqrt(1+sin 4x)-1) , then y can be

If y = sqrt(sin x + sqrt(sin x + sqrt(sin x + ........... "to " oo))) , then prove that (dy)/(dx) = (cos x)/(2y-1)

Consider a real-valued function f(x)= sqrt(sin^-1 x + 2) + sqrt(1 – sin^-1x) then The domain of definition of f(x) is

Consider a real - valued function f(x) = sqrt(sin^(-1) x + 2) + sqrt(1 - sin^(-1)x) The range of f (x) is

Prove that sin [2 tan^(-1) {sqrt((1 -x)/(1 + x))}] = sqrt(1 - x^(2))

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

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

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx