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If x + (1)/(x ) =2 sin alpha , y +(...

If ` x + (1)/(x ) =2 sin alpha , y +(1)/(y) =2 cos beta , ` then ` x^3 y^3 + (1)/( x^3 y^3) ` is

A

A. `2 cos 3( beta = alpha )`

B

B. ` 2 cos 3 ( beta + alpha )`

C

C. ` 2 sin 3 ( beta - alpha )`

D

D. `2 sin 3 ( beta + alpha )`

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The correct Answer is:
C
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