[cos^(-1)((1-a^(2))/(1+b^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))],[=2tan^(-1)((a-b)/(-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)))=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)

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

sin^(-1)(2(a)/(1)+a^(2))+(cos^(-1)(1-b^(2)))/(1+b^(2))=tan^(-1)(2(a)/(1)-x^(2)) the provet widehat x=(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 prove that x=(a-b)/(1+ab) .