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

question 172

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

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