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What ( sin x cos y + cos x sin y) (sin x...

What `( sin x cos y + cos x sin y) (sin x cos y - cos x sin y)` equal to ?

A

`cos^(2) x- cos^(2)y`

B

`cos^(2) x- sin^(2) y`

C

`sin^(2)x-cos^(2)y`

D

`sin^(2) x - sin^(2)y`

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Knowledge Check

  • If 0 < x, y < pi and cos x + cos y - cos(x + y) = 3/2 then sin x + cos y is equal to

    A
    `1/2`
    B
    `(1 + sqrt(3))/(2)`
    C
    `(sqrt3)/(2)`
    D
    `(1 - sqrt(3))/(2)`

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    A
    cos x
    B
    sin x
    C
    `sqrt(cos x)`
    D
    ` sqrt(sin x)`

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