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

If `(sin x)/(sin y)=1/2, (cos x)/(cos y)=3/2 = 3/2`, where `x, y in (0,pi/4)`, 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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