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Show that one value of ((1 + sin . pi/...

Show that one value of
`((1 + sin . pi/8 + i cos . pi/8)/(1 + sin . pi/8 - i cos . pi/8))^(8//3) " is " - 1`.

Text Solution

Verified by Experts

The correct Answer is:
`-1`
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Knowledge Check

  • cos. (pi)/(13) + cos. (5pi)/(13) + cos. (8pi)/(13) + cos. (12pi)/(13)=

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    0
    B
    1
    C
    -1
    D
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  • The amplitude of sin pi/5 +I (1- "cos" pi/5) is

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    B
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    D
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  • The value of cos "" (2pi)/(15) cos "" (4pi)/(15) cos "" (8pi)/(15) cos "" (14pi)/(15) is

    A
    `1/16`
    B
    `1/8`
    C
    `1/12`
    D
    `1/4`

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