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If (sinx)/(siny)=1/2,(cosx)/(cosy)=3/2 ...

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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