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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)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

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

  • If sin x+siny=1/4,cos x+cosy=1/3 then tan((x+y)/2)=

    A
    `1//4`
    B
    `1//2`
    C
    `3//4`
    D
    None

  • If (cos x)/(cos y)=2 and cos(x-y) = sqrt(3)/2 , then tan y=

    A
    `sqrt(3)+4`
    B
    `sqrt(3)+1`
    C
    `sqrt(3)-4`
    D
    `sqrt(3)-1`

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