`tan^(- 1)((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))`

tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),absxx le 1/sqrt2 , is equal to

Prove that tan^(-1)((sqrt(1+x)-sqrt(1-sin x))/(sqrt(1+x)-sqrt(1-sin x)))=(pi)/(4)-(1)/(2)cos^(-1),-(1)/(sqrt(2))<=x<=1

If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -1 < x < 1, x!= 0 . Find dy/dx .

If y=tan^(-1) ((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))), x^2 le 1 , then find (dy)/(dx)

If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha , then x^2= sin2\ alpha (b) sin\ alpha (c) cos2\ alpha (d) cos\ alpha

Solve : (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

If x= sqrt3/2 , then the value of (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) is equal to: यदि x= sqrt3/2 , (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) का मान ज्ञात करें :

If e^(y)=(sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x))," then "(dy)/(dx)=

Simplest form of tan^(-1)((sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))), pi lt x lt (3 pi)/(2) is:

int_( then )^( If )sqrt((1-x)/(1+x))(dx)/(x)=log((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))+2f(x)+C