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If sinx + siny = 1/2 and cosx + cosy =1,...

If `sinx + siny = 1/2` and `cosx + cosy =1`, then `tan(x + y)=.......`

A

`8/3`

B

`-3/4`

C

`-8/3`

D

`4/3.`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If sinx + sin y=(1)/(2) and cos x+cos y=1 , then tan (x+y)=

    A
    `(3)/(8)`
    B
    `-(3)/(8)`
    C
    `(4)/(3)`
    D
    `-(4)/(3)`

  • If 0ltxltpi and cosx + sinx = 1//2 , then tanx is :

    A
    `((1 -sqrt(7)))/4`
    B
    `((4 -sqrt(7)))/3`
    C
    `-((4 +sqrt(7)))/3`
    D
    `((1 +sqrt(7)))/3.`

  • If sin^(4)x + cos^(4)y + 2 =4sinx cosy , 0 lt=x y lt=pi/2 , then sinx + cosy equals :

    A
    0
    B
    `-2`
    C
    2
    D
    None of these.

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