" 5."cot^(-1)((sqrt(a^(2)-x^(2)))/(x))=sin^(-1)(x)/(a)

cot^(-1)(sqrt(1+x^2)-x)

Prove that cot^(-1)((1+sqrt(1-x^(2)))/x)=(1)/(2)sin^(-1)x

If sec^(-1)(1/(sqrt(1-x^(2))))+cot^(-1)((sqrt(1-x^(2)))/x)=sin^(-1)(k) then k=

The solution set of equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x=cot^(-1)((sqrt(1-x^(2)))/(x))-sin^(-1)

If cot(sin^(-1)sqrt(1-x^(2)))=sin(tan^(-1)(x sqrt(6))),x!=, then possible value of x is

The solutio set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x="cot"^(-1)(sqrt(1-x^(2)))/x-sin^(-1)x is

The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1) x = cot^(-1) ( sqrt(1-x^(2))/x) - sin^(-1) x

Statement 1: If x=(1)/(5 sqrt(2)) , then [x cos(cot^(-1)x)+sin(cot^(-1)x)]^(2)=(51)/(50) . Statement 2: tan["cot"^(-1)(1)/(5sqrt(2))-"sin"^(-1)(4)/(sqrt(17))]=(29)/(3) .

Statement 1: If x=(1)/(5 sqrt(2)) , then [x cos(cot^(-1)x)+sin(cot^(-1)x)]^(2)=(51)/(50) . Statement 2: tan["cot"^(-1)(1)/(5sqrt(2))-"sin"^(-1)(4)/(sqrt(17))]=(29)/(3) .