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2cos(pi/13)cos(9pi/13)+cos(3pi/13)+cos(5...

`2cos(pi/13)cos(9pi/13)+cos(3pi/13)+cos(5pi/13)=0`

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Prove that: 2cos (pi)/(13) cos (9 pi)/(13)(3 pi)/(13)(5 pi)/(13)=0

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Knowledge Check

  • The expression 2"cos"(pi)/13"cos"(9pi)/13+"cos"(3pi)/13+"cos"(5pi)/13 is equal to

    A
    `-1`
    B
    0
    C
    1
    D
    None of these

  • The expression 2"cos"pi/13+"cos"(9pi)/13+"cos"(3pi)/13+"cos"(5pi)/13 is equal to :

    A
    -1
    B
    0
    C
    1
    D
    none of these

  • The expression 2"cos"pi/13+"cos"(9pi)/13+"cos"(3pi)/13+"cos"(5pi)/13 is equal to :

    A
    -1
    B
    0
    C
    1
    D
    none of these

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    2"cos"(pi)/(13)"cos"(9pi)/(13)+"cos"(3pi)/(13)+"cos"(5pi)/(13) is equal to :

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