Write the trigonometric expression as an algebraic expression containing u and v.
-$\cos \left( \sin ^ { - 1 } u + \cos ^ { - 1 } \mathrm { v } \right)$
A) $u v + \left( \sqrt { 1 - u ^ { 2 } } \right) \left( \sqrt { 1 - v ^ { 2 } } \right)$

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

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

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

Question

Write the trigonometric expression as an algebraic expression containing u and v.
-$\cos \left( \sin ^ { - 1 } u + \cos ^ { - 1 } \mathrm { v } \right)$
A) $u v + \left( \sqrt { 1 - u ^ { 2 } } \right) \left( \sqrt { 1 - v ^ { 2 } } \right)$

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

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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The Answer of Write the trigonometric expression as an algebraic expression containing u and v.
-$\cos \left( \sin ^ { - 1 } u + \cos ^ { - 1 } \mathrm { v } \right)$
A) $u v + \left( \sqrt { 1 - u ^ { 2 } } \right) \left( \sqrt { 1 - v ^ { 2 } } \right)$

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

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

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

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

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