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The value of cos y cos ((pi)/(2) - x) - ...

The value of cos y cos `((pi)/(2) - x) - cos ((pi)/(2) - y) cos x + sin y cos ((pi)/(2) - x) + cos x sin ((pi)/(2) - y)` is zero if

A

`x = 0`

B

y = 0

C

x = y

D

`n pi + y - (pi)/(4) (n in Z)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The extreme values of cos x cos((2pi)/(3)+x)cos((2pi)/(3)-x) is

    A
    `-1//2,1//2`
    B
    `-1//3,1//3`
    C
    `-1//4,1//4`
    D
    `-1//5,1//5`

  • ( sin x - cos x)^(2) + cos^(2) ((pi)/(4) - x) in

    A
    `[0,1]`
    B
    `[0,2]`
    C
    `[1,2]`
    D
    `[0,3]`

  • cos^(2)""((pi)/(4) +x ) - sin^(2) ""((pi)/4- x ) =

    A
    0
    B
    `-1`
    C
    `1`
    D
    2

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    int_(-(pi)/(2))^((pi)/(2)) sin^(2) x cos^(2) x(sin x + cos x)dx

    If x=y cos((2pi)/(3))=z cos ((4pi)/(3)) then xy+yz+zx=

    (sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

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