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The value of sin(pi/(14))sin((3pi)/14)si...

The value of `sin(pi/(14))sin((3pi)/14)sin((5pi)/(14))sin((7pi)/(14))sin((9pi)/(14))sin((11pi)/(14))sin((13pi)/(14))` is equal to___________

A

`1/8`

B

`1/16`

C

`1/32`

D

`1/64`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • Select the correct option from the given alternatives. The value of sin (pi/14) sin ((3pi)/14) sin ((5pi)/(14)) sin ((7pi)/(14)) sin ((9pi)/(14)) sin ((11pi)/14) sin ((13pi)/14) is

    A
    `1/(16)`
    B
    `1/(64)`
    C
    `1/(28)`
    D
    `1/(256)`

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