Write the following trigonometric expression as an algebraic expression containi
ID: 3401065 • Letter: W
Question
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,Explanation / Answer
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
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