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The value of cos(pi/10)cos((2pi)/10)cos...

The value of `cos(pi/10)cos((2pi)/10)cos((4pi)/10)cos((8pi)/10)cos((16pi)/10)` is

Answer

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"cos(pi/15)cos((2pi)/15)cos((4pi)/15)cos((8pi)/15)=k

cos(pi/5)cos((2pi)/5)cos((4pi)/5)cos((8pi)/5)=

Knowledge Check

  • The value of (cos(pi/10)+isin(pi/10))(cos((2pi)/10)+isin((2pi)/10))(cos((3pi)/10)+isin((3pi)/10))(cos((4pi)/10)+isin((4pi)/10)) is

    A
    a) `(-1)`
    B
    b) `1`
    C
    c) `2`
    D
    d) `(-2)`

  • The value of cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(15)), is

    A
    1
    B
    `1//2`
    C
    `1//4`
    D
    `1//16`

  • The value of "cos"(2pi)/(15)."cos"(4pi)/(15)."cos"(8pi)/(15)."cos"(16pi)/(15) is

    A
    (a)`-1/(16)`
    B
    (b)`-1/(8)`
    C
    (c) `1/(8)`
    D
    (d)`1/(16)`

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    Find the value of 16cos(pi/15).cos((2pi)/15).cos((4pi)/15).cos((8pi)/15)

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    cos""(2pi)/(15) cos ""(4pi)/(15)""cos(8pi)/(15) cos""(16pi)/(15)=

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