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Write the Trigonometric Expression as an Algebraic Expression Containing U cos(sin1u+cos1v)\cos \left( \sin ^ { - 1 } u + \cos ^ { - 1 } \mathrm { v } \right)

Question 5

Multiple Choice

Write the trigonometric expression as an algebraic expression containing u and v.
- cos(sin1u+cos1v) \cos \left( \sin ^ { - 1 } u + \cos ^ { - 1 } \mathrm { v } \right)


A) uv+(1u2) (1v2) u v + \left( \sqrt { 1 - u ^ { 2 } } \right) \left( \sqrt { 1 - v ^ { 2 } } \right)

B) v1u2u1v2v \sqrt { 1 - u ^ { 2 } } - u \sqrt { 1 - v ^ { 2 } }

C) uv(1u2) (1v2) u v - \left( \sqrt { 1 - u ^ { 2 } } \right) \left( \sqrt { 1 - v ^ { 2 } } \right)

D) v1u2+u1v2v \sqrt { 1 - u ^ { 2 } } + u \sqrt { 1 - v ^ { 2 } }

Correct Answer:

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