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The value of sin (pi/14)sin(3pi/14)sin(5...

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?

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`sintheta=sin(pi-theta)`
`sin(9/14pi)=sin(pi-9/14pi)=sin5/14pi`
`sin11/14pi=sin3/14pi`
`sin13/14pi=sinpi/14`
`=sin^2pi/14sin^2 3/14pisin^2 5/14pi`
`=(sinpi/14sin3/14pisin5/14pi)^2`
`1/(4sin^2pi/7)[sin2/7pisoc2/7pi*cos(pi-4/7pi)]^2`
`1/(16sin^2pi/7)[1/4sin^28/7pi]`
...
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