Write the following trigonometric expression as an algebraic

Write the following trigonometric expression as an algebraic expression containing u and v. Give the restrictions required on u and v. sin[cos^-1 u + sin^-1 v] Write an algebraic expression containing u and v with the restrictions required on u and v. Select the correct choice below and fill in the answer box to complete your choice sin[cos^-1 u + sin^-1 v] = squareroor 1 + u^2 squareroot 1 + v^2 -uv, u greaterthanorequalto, v greaterthanorequalto .sin[cos^-1 u + sin^-1 v] = squareroor 1 + u^2 squareroot 1 + v^2 +uv,

Solution

sin(cos ^-1u + sin^-1v)

This is of the form sin(A+B)=sinA cosB + cos A sinB

sin(cos^-1u + sin^-1v)= sin cos^-1u + cos sin^-1v + cos cos^-1u + sin sin^-1v

                                = sqrt(1-u^2) sqrt(1-v^2)    + u v

Correct option is the third option