If (sinx)/(siny)=(1)/(2),(cosx)/(cosy)=...

If `(sinx)/(siny)=(1)/(2),(cosx)/(cosy)=(3)/(2)` , where ` x,y in (0,(pi)/(2))` , then the value of tan (x+y) is equal to

A

`sqrt(13)`

B

`sqrt(14)`

C

`sqrt(17)`

D

`sqrt(15)`

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The correct Answer is:

D

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