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Prove that sin^2(pi/8)+sin^2(3pi/8)+sin^...

Prove that `sin^2(pi/8)+sin^2(3pi/8)+sin^2(5pi/8)+sin^2(7pi/8)=2`

Answer

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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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