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If sin x+siny=a, cosx+cosy=b, then wha...

If `sin x+siny=a, cosx+cosy=b`, then what is the value of `cos(x-y)`?

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2) + b^(2) - 2)/( 2)`
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Knowledge Check

  • If sin x + sin y = a, cos x + cos y = b, then what is the value of cos (x-y) ?

    A
    `a^2-1`
    B
    `b^2-1`
    C
    `1/2(a^2+b^2-2)`
    D
    `1/2(a^2+b^2)`

  • If (sinx + sin y ) = a and (cos x + cos y ) = b what is the value of sin x sin y + cos x cos y ?

    A
    `a + b - ab `
    B
    `a + b+ ab`
    C
    `a^(2) + b^(2) - 2 `
    D
    ` (a^(2) + b^(2) - 2)/(2)`

  • If sin x+siny=3(cosy-cosx), then the value of (sin3x)/(sin3y), is

    A
    1
    B
    `-1`
    C
    0
    D
    `+-1`

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    If sinx+siny = 3(cosy-cosx), then the value of (sin3x)/(sin3y) is

    If sinx+siny = 3(cosy-cosx), then the value of (sin3x)/(sin3y) is

    If (sinx)/(siny)=pand(cosx)/(cosy)=q , then x = ?

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