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sin(pi)/(4)*sin(3 pi)/(4)*sin(5 pi)/(4)*...

`sin(pi)/(4)*sin(3 pi)/(4)*sin(5 pi)/(4)*sin(7 pi)/(4)=`

Answer

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sin^(2)(pi)/(4)+sin^(2)(3 pi)/(4)+sin^(2)(5 pi)/(4)+sin^(2)(7 pi)/(4)=2

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

Knowledge Check

  • sin""(pi)/(14)sin""(3pi)/(14)sin""(5pi)/(14)sin""(7pi)/(14)sin""(9pi)/(14)sin""(11pi)/(14)sin""(13pi)/(14)=

    A
    `1//4`
    B
    `1//8`
    C
    `1//16`
    D
    `1//64`
  • 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
    a) `(1)/(8)`
    B
    b) `(1)/(16)`
    C
    c) `(1)/(32)`
    D
    d) `(1)/(64)`
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    Evaluate the following: (cos(2 pi))/(3)(cos pi)/(4)-(sin(2 pi))/(3)(sin pi)/(4)

    Prove that: 2(sin pi)/(6)sec(pi)/(3)-4(sin(5 pi))/(6)(cos pi)/(4)=1

    Period of sin.(pi)/(4)[x]+sin.(pix)/(2)+tan.(pi)/(3)+sin.(pit)/(4) is ________________

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