Write the Trigonometric Expression as an Algebraic Expression Containing U $\cos \left( \sin ^ { - 1 } u - \cos ^ { - 1 } \mathrm { v } \right)$

Multiple Choice

Write the trigonometric expression as an algebraic expression containing u and v.
- $\cos \left( \sin ^ { - 1 } u - \cos ^ { - 1 } \mathrm { v } \right)$

A) $v \sqrt { 1 - u ^ { 2 } } - u \sqrt { 1 - v ^ { 2 } }$

B) $u v + \left( \sqrt { 1 - u ^ { 2 } } \right) \left( \sqrt { 1 - v ^ { 2 } } \right)$

C) $u v - \left( \sqrt { 1 - u ^ { 2 } } \right) \left( \sqrt { 1 - v ^ { 2 } } \right)$

D) $v \sqrt { 1 - u ^ { 2 } } + u \sqrt { 1 - v ^ { 2 } }$