If x + 1/x = 2, the principal value of ...

If ` x + 1/x = 2`, the principal value of `sin^(-1) x` is

A

` a in (-infty,1)cup[2,infty)` and `b in (-infty,0)cup[1,infty)`

B

`a in (1,3/2)` and `b in (0,1/2)`

C

`a in (1,3/2)` and `b in (0,1/2)`

D

`a in (1,5/4)` and `b in (1/3,1/2)`

Verified by Experts

The correct Answer is:

b

Similar Questions

Explore conceptually related problems

The principal values of sec^(-1)x lie in

The principal value of cot^(-1)x lie in

Find the principal value of Sin(-1/2)

Find the principal value of: sin^(-1)(-1/2)

The principal value of sin^(-1)[cos(sin^(-1)'1/2)] is

If (x+1)/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1) , then find the principal value of sin^(-1)(A/B) .

Find the principal value of cos^(-1){sin"[cos^(-1)(1/2)]}

If x >1 , then write the value of sin^(-1)((2x)/(1+x^2)) in terms of tan^(-1)x

If x in [-1, 0] , then find the value of cos^(-1) (2x^(2) - 1) - 2 sin^(-1) x