[" 22."sin cos^(-1)tan(sec^(-1)x)=sqrt(2-x^(2))],[" 23."sin cos alpha-1]

Prove that: sin cos^-1 tan sec^-1 x= sqrt(2-x^2)

Prove that: sin cos^-1 tan sec^-1 x= sqrt(2-x^2)

Show that : sin[cos^-1{tan(sec^-1 x)}]=sqrt(2-x^2)

Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x) is/are

Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x)is/are

Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x) is/are ____

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

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

If tan(cos^(-1)x)=sin^(-1)(sec^(-1)sqrt(5)) then x=