[NCERT]" 22."sin^(-1)((1)/(sqrt(1+x^(2))))

(sin^(-1)x)/(sqrt(1-x^(2))

(sin^(-1)x)/(sqrt(1-x^(2))

(sin ^(-1) x )/( sqrt( 1 - x ^(2)) )

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

solve : sin ^(-1) ""((x)/(sqrt(1+x^(2))))-sin ^(-1)((1)/(sqrt(1+x^(2))))= sin ^(-1) ((1+x)/(1+x^(2)))

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

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

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))

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

If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(1-x)))+p , then p is equal to 0 (b) 1/(sqrt(1-x)) sin^(-1)sqrt(x) (d) 1/(sqrt(1-x^2))