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Prove that: "sin"(pi)/(5)"sin"(2pi)/(...

Prove that:
`"sin"(pi)/(5)"sin"(2pi)/(5)"sin"(3pi)/(5)"sin"(4pi)/(5)=(5)/(16)`
`"sin"36^(@) "sin"72^(@) "sin"108^(@) sin 144^(@)=(5)/(16)`.

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Prove that: (sin pi)/(5)(sin(2 pi))/(5)(sin(3 pi))/(5)(sin(4 pi))/(5)=(5)/(16)

sin36^(@)sin72^(@)sin108^(@)sin144^(@)=(5)/(16)

Knowledge Check

  • The value of "sin"(pi)/(14)*"sin"(3pi)/(14)*"sin"(5pi)/(14) is

    A
    `1//4`
    B
    `1//8`
    C
    `1//2`
    D
    `1//16`

  • sin""(pi)/(14)sin"" ( 3pi )/( 14)sin"" ( 5pi)/( 14)sin"" ( 7pi)/(14)

    A
    `1//2`
    B
    `1//4`
    C
    `1//8`
    D
    `1//16`

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