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Let cos(alpha+beta)=(4)/(5) and let sin(...

Let `cos(alpha+beta)=(4)/(5)` and let `sin(alpha-beta)=(5)/(13)`, where `0 le alpha`, `beta=(pi)/(4)`. Then`tan2alpha=`

A

`( 56)/(33)`

B

`( 19)/( 12)`

C

`( 20)/( 7)`

D

`( 25)/( 16)`

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The correct Answer is:
A
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