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The sum of the solutions in (0, 2pi) of ...

The sum of the solutions in `(0, 2pi)` of the equation cos x cos `((pi)/(3)-x)cos((pi)/(3)+x)=(1)/(4)` is

A

`pi`

B

`2pi`

C

`3pi`

D

`4pi`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The sum of the solutions in (0,2pi) for the equation cosx cos (pi/3-x)cos (pi/3+x)=1/4 is

    A
    `4pi`
    B
    `pi`
    C
    `2pi`
    D
    `3pi`

  • The sum of all the solution is of the equation cos theta cos ((pi)/3+theta)cos ((pi)/3-theta)=1/4, theta in [0,6pi ]

    A
    `15pi`
    B
    `30 pi`
    C
    `(100pi)/3`
    D
    `100pi`

  • 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`

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