`sin(cot^(-1)x)=`

If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)) , then x is

The value of sin(cot^-1x) is equal to

Prove the following: cos[tan^-1{sin(cot^-1x)}]=sqrt((1+x^2)/(2+x^2))

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

int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

If [y] is the greatest integer less than or equal to y then solution set of [sin^(-1)(cos^(-1)(sin^(-1)(cot^(-1)x)))]=1 is

If sin^(-1)x+cot^(-1)(1/2)=(pi)/(2), " then : " x=