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Find the value ((1+sin((2pi)/9)+icos((2p...

Find the value `((1+sin((2pi)/9)+icos((2pi)/9))/(1+sin((2pi)/9)-icos((2pi)/9)))^3`

A

`-1/2 ( sqrt(3) - i) `

B

`-1/2 (1- i sqrt(3))`

C

` 1/2 (1- i sqrt( 3))`

D

`1/2 ( sqrt(3)- i)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9)cos""(4pi)/(9), is

    A
    `1/8`
    B
    `1/16`
    C
    `1/64`
    D
    `1/4`

  • The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9), is

    A
    `1//8 cos20`
    B
    `-1//8`
    C
    1
    D
    0

  • The value of ("sin"(pi)/(9))(4+"sec"(pi)/(9)) is :

    A
    `(1)/(2)`
    B
    `sqrt(2)`
    C
    1
    D
    `sqrt(3)`

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