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

If x in[(sqrt(3))/(2), 1] then [sin^(-1){(x)/(sqrt(2))+(sqrt(1-x^(2)))/(sqrt(2))}-sin^(-1)x]=

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]

The value of sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))] is equal to

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

If x in(pi,(3 pi)/(2)) then the value of tan^(-1)((sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sqrt(1+sin x)))

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

Find the value of cot^(-1)[(sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sqrt(1+sin x))]

Find the value of lim_(x rarr0)(sqrt(2)-sqrt(1+cos x))/(sin^(2)x)