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If A,B,C are angles of a triangle such t...

If A,B,C are angles of a triangle such that ` x = cis A , y = cis B , z = cis C`, then find the value of xyz .

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Knowledge Check

  • If cis alpha.cis beta.cis gamma=cis x then the value of x is

    A
    `alpha+beta+gamma`
    B
    `alpha+beta-gamma`
    C
    `alpha-beta+gamma`
    D
    `alpha-beta-gamma`

  • If A, B,C are angles of a acute angled triangle then the least value of tan A tan B tan C is

    A
    1
    B
    3
    C
    `sqrt3`
    D
    `3sqrt3`

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