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cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)...

`cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos""(16pi)/(15)=(1)/(16)`

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Explore conceptually related problems

Prove that cos(2 pi)/(15)cos(4 pi)/(15)cos(8 pi)/(15)cos(14 pi)/(15)=(1)/(16)

Show that 16cos((2 pi)/(15))cos((4 pi)/(15))cos((8 pi)/(15))cos((16 pi)/(15))=1

Knowledge Check

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

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

  • cos""(pi)/(15).cos""(2pi)/(15).cos""(4pi)/(15).cos""(8pi)/(15) is equal to

    A
    (a) `(1)/(16)`
    B
    (b) `-(1)/(16)`
    C
    (c) 1
    D
    (d) 0

  • 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`

    • Similar Questions

    Explore conceptually related problems

    If m^(2) cos.(2pi)/(15)cos. (4pi)/(15) cos. (8 pi)/(15) cos. (14pi)/(15)=n^(2) , then find the value of (m^(2)-n^(2))/(n^(2)) .

    Prove that :16cos2(pi)/(15)cos4(pi)/(15)cos8(pi)/(15)cos16(pi)/(15)=1

    The value of cos((pi)/(15))cos((2 pi)/(15))cos((4 pi)/(15))cos((8 pi)/(15))=

    Hence deduce that cos(pi)/(9)cos(2 pi)/(9)cos(3 pi)/(9)cos(4 pi)/(9)=(1)/(16)

    The value of cos "" (pi)/( 15) cos "" (2pi )/( 15)cos "" ( 3pi )/( 15)cos"" ( 4pi )/( 15)cos "" ( 5pi )/( 15) cos ""( 6pi)/( 15)cos "" ( 7 pi )/( 15) is

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