cos[tan^(-1)(sin(cot^(-1)x))]

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

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

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

If: cos(tan^(-1)x)=sin (cot^(-1).(3)/(4)), then : x =

Solve the following equation for x:cos(tan^(-1)x)=sin((cot^(-1)3)/(4))tan(cos^(-1)x)=sin((cot^(-1)1)/(2))

Solve the following equation for x : "cos"(tan^(-1)x)=sin(cot^(-1)(3/4)) , tan(cos^(-1)x)=sin(cot^(-1)(1/2))

Solve : cos(tan^(-1)x)=sin(cot^(-1)""(3)/(4))

Which of the following pairs of function/functions has same graph? y=tan(cos^(-1)x);y=(sqrt(1-x^(2)))/(x)y=tan(cot^(-1)x);y=(1)/(x)y=sin(tan^(-1)x);y=(x)/(sqrt(1-x^(2)))y=cos(tan^(-1)x);y=sin(cot^(-1)x)

The number values of x if cos(tan^(-1)(1+x))=sin(cot^(-1)x) is/are

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