[" T) सिद्ध कीजिए कि : "],[cos^(-1)((1-a^(2))/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=2tan^(-1)((a-b)/(1+ab))]

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

sin^(-1) ""(2a)/(1+a^(2))-cos^(-1) ""(1-b^(2))/(1+b^(2))=2tan ^(-1) ""(a-b)/(1+ab)

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

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

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

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

If ab lt 1 and cos ^(-1) ((1 - a ^(2))/( 1 + a ^(2))) + cos ^(-1) ((1 - b ^(2))/( 1 + b ^(2)))= 2 tan ^(-1)x, then x is equal to

Solve 2tan^(-1)x=cos^(-1)""(1-a^(2))/(1+a^(2))-cos^(-1)""(1-b^(2))/(1+b^(2)),agt0,gt0

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