If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(...

If `cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 tan^(-1) x`, then x is

A

` (a-b)/(1 + ab) `

B

` (b-a)/(1+ ab) `

C

` (a+b)/(1- ab) `

D

None of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

if cos^(-1)((1-a^(2))/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=2tan^(-1)x then x is:

If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1) ((2x)/(1-x^(2))), then : x =

If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x then

Prove that : cos ^(-1) ((1- a^(2))/(1+a)) + cos ^(-1)((1-b^(2))/(1+b^(2))) = 2 tan ^(-1) .(a+b)/(1-ab)

If sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^2))=tan^(-1)((2x)/(1-x^(2))) then what is the value of x?

If sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2))) , then what os the value of x ?

Solve : sin^(-1)((2a)/(1+a^2)) + cos^(-1)( (1-b^2)/(1+b^2)) = 2 tan^(-1) x,|a|le1, |b|ge 0 .

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

If |a|lt1| b|lt1and|x|lt1 then the solution of sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2))) is