If `x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R ,` then the value of `sec^2x` is_______

If sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((2x)/(1-x^(2))) , where a, x in]0,1[ , then the value of x is

If sin^(2)(2cos^(-1)(tan x))=1 then x may be

sec^(-1)((1+tan^(2)x)/(1-tan^(2)x))

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

If quad cos^(-1)x<1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+...oo=2 then the value of 12x^(2) is

sin(sin^(-1)((1)/(3))+sec^(-1)(3))+cos(tan^(-1)(1/2)+tan^(-1)2) =

The value of cos^-1(cos(-6))+sin^-1(sin5)-tan^-1(tan2) is