`cos^(- 1)sqrt((a-x)/(a-b))=sin^(- 1)sqrt((x-b)/(a-b))` is possible ,if

cos^(-1)sqrt(1-x)+sin^(-1)sqrt(1-x)=

If y=sqrt((a-x)(x-b))-(a-b)tan^(-1)sqrt((a-x)/(x-b)), then find(dy)/(dx)

If tan x=(b)/(a), then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to (a)2sin x/sqrt(sin2x)(b)2cos x/sqrt(cos2x)(c)2cos x/sqrt(sin2x)(d)2sin x/sqrt(cos2x)

(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x)),x in[0,1]

Find :int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx,x in[0,1]

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

The sum of the solution of the equation 2sin^(-1)sqrt(x^(2)+x+1)+cos^(-1)sqrt(x^(2)+x)=(3 pi)/(2) is 0(b)-1( c) 1 (d) 2

int sqrt((x)/(1-x))dx is equal to sin^(-1)sqrt(x)+C(b)sin^(-1){sqrt(x)-sqrt(x(1-x))}+C(c)sin^(-1){sqrt(x(1-x)}+C(d))sin^(-1)sqrt(x)-sqrt(x(1-x))+C