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Q 2661145025.     If `sin 2beta` is the G.M. between `sin alpha` and `cos beta`, then `cos 4 beta` is equal to

A

`2 sin ^2 (pi/4- alpha)`

B

`2 cos ^2 (pi/4 - alpha)`

C

`2cos^2 (pi/2 + alpha)`

D

`2 sin^2 (pi/4 + alpha)`

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