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If sinx+cosy=a and cosx+siny = b, then t...

If `sinx+cosy=a` and `cosx+siny = b`, then `tan""(x-y)/(2)` is equal to :

A

a+b

B

a-b

C

`(a+b)/(a-b)`

D

`(a-b)/(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If sin x+cosy=a and cos x +siny=b , then tan (x-y)/(2) is equal to

    A
    `a+b`
    B
    `a-b`
    C
    `(a+b)/(a-b)`
    D
    `(a-b)/(a+b)`

  • If cosx=3cosy , then 2tan.(y-x)/(2) is equal to

    A
    `cot((y-x)/(2))`
    B
    `cot((x+y)/(4))`
    C
    `cot((y-x)/(4))`
    D
    `cot((x+y)/(2))`

  • If sin x + sin y =(1)/(2) andcosx+cosy=1 , then tan (x+y) is equal to

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

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    If 0ltxltpiand cosx+sinx=1/2, then tan x is equal to

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