`Lt_(x->1/sqrt2)(x-cos(sin^(- 1)x))/(1-tan(sin^(- 1)x))=`

lim_(x->1/sqrt2) (x-cos(sin^-1 x))/(1-tan(sin^-1x))

Lt_(x to (1)/(sqrt(2))) (x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))=

Lt_(x rarr(1)/(sqrt(2)))(x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))=

The value of lim_(xto(1)/(sqrt(2))) (x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))" is "

The value of lim_(xto(1)/(sqrt(2))) (x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))" is "

The value of lim_(xto(1)/(sqrt(2))) (x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))" is "

The value of tan(sin^(-1)(cos(sin^(-1)x)))tan(cos^(-1)(sin(cos^(-1)x)))." where "x in (0, 1) is equal to

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

Let g(x)=sqrt(sin^(-1)(cos(tan^(-1)x))+cos^(-1)(sin(cot^(-1)x))) ,then int_(-sqrt((pi)/(2)))^(sqrt((pi)/(2)))g(x)dx equals