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The value of (1+tan\ (3pi)/8*tan\ pi/8)+...

The value of `(1+tan\ (3pi)/8*tan\ pi/8)+(1+tan\ (5pi)/8*tan\ (3pi)/8)+(1+tan\ (7pi)/8*tan\ (5pi)/8)+(1+tan\ (9pi)/8* tan\ (7pi)/8)`

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Knowledge Check

  • The value of tan^(-1)(tan(8*pi/6)) is

    A
    `(7pi)/6`
    B
    `(5pi)/3`
    C
    `pi/3`
    D
    none of these

  • tan. (pi)/(10) + tan. (3pi)/(10) + tan. (7pi)/(10) + tan. (9pi)/(10) =

    A
    0
    B
    1
    C
    -1
    D
    2

  • What of the value of tan.(pi)/(8).tan.(pi)/(12).tan.(pi)/(4).tan.(3pi)/(8)tan.(5pi)/(12) ?

    A
    `0`
    B
    `1`
    C
    `sqrt(3)`
    D
    `(1)/(sqrt(3))`

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