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

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

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

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

Prove that cos[Tan^(-1){sin(Cot^(-1)x)}] = sqrt((x^(2)+1)/(x^(2)+2))

Assertion: sin(cot^(-1)(1/2))=tan(cos^(-1)x) then the value of x=(sqrt(5))/3 Reason R: cos(tan^(-1)(sin(cot^(-1)x)))=sqrt(((1+x^(2))/(2+x^(2))))

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

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

Prove that cos [tan^(-1){(sin(cot^(-1)x}] =((x^(2)+1)/(x^(2)+2)) ^(1/2)

Prove that cos[tan^(-1){sin(cos^(-1)x)}]=(1)/(sqrt(2-x^(2)))