cot^(-1)[(sqrt(1-sinx)+sqrt(1+sinx))/(sq...

`cot^(-1)[(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1+sinx))]`=a)`pi-x`b)`2pi-x` c)`x/2`d)`pi-(x)/2`

A

`pi-x`

B

`2pi-x`

C

`x/2`

D

`pi-(x)/2`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

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

if x in(o,pi/2) ,show that cot^-1(frac(sqrt(1+sinx)+sqrt(1-sinx))(sqrt(1+sinx)-sqrt(1-sinx)))=x/2

Differentiate w.r.t x the functions cot ^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]

Find dy/dx of y=sqrt(sinx +sqrt (sinx+sqrt(sinx+.....

prove tan ^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))=pi/4-1/2 cos ^(-1) x, -1/2 le x le 1

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

Let z=sinx-cosx. Compute int(cosx+sinx)/sqrt(sin 2x)

Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) Find dy/dx .

Evaluate lim_(x rarr 1) (sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1))