tan^(-1)(x)/(a+sqrt(a^(2)-x^(2)))=(1)/(2)sin^(-1)(x)/(a)

Prove that tan^(-1)((x)/(sqrt(a^(2)-x^(2))))="sin"^(-1)(x)/(a)=cos^(-1)((sqrt(a^(2)-x^(2)))/(a)) .

prove that tan^(-1)((x)/(1+sqrt(1-x^(2)))]=(1)/(2)sin^(-1)x

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

Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)(x/a) ,-a lt x lt a

Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)x/a ,-a lt x lt a

Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)x/a ,-a lt x lt a

if x greater than equal to 0 and less than equal to 1/2 then find the value of tan[sin^(-1){(x)/(sqrt(2))+sqrt((1-x^(2))/(2))}-sin^(-1)x]

Given that 0<=x<=(1)/(2), and A=tan(sin^(-1)((x)/(sqrt(2))+sqrt((1-x^(2))/(2)))-sin^(-1)x) .If B=tan(4tan^(-1)((1)/(5))-tan^(-1)((1)/(239))) ,then find the value of A " and " B

Given 0 le x le 1/2 then the value of tan[sin^(-1){(x)/(sqrt(2))+(sqrt(1-x^(2)))/(sqrt(2))}-sin^(-1)x] is