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Prove that: sin10^0sin30^0sin50^0sin70^0...

Prove that: `sin10^0sin30^0sin50^0sin70^0=1/(16)dot`

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We will start from LHS

We know the identities that

i) `sin 2A = 2sinAcosA`

ii) `sin(90^@-A)= cosA`

...
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Prove that: sin10^(0)sin30^(0)sin50^(@)sin70^(@)=(1)/(16)

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sin20^(0)sin40^(0)sin60^(0)sin80^(@)=(3)/(16)

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Prove that: sin20^(@)sin40^(0)sin60^(@)sin80^(@)=(3)/(16)

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sin10^(@)sin30^(@)sin50^(@)sin70^(@)sin90^(@)=

value of sin10^(@)sin30^(@)sin50^(@)sin70^(@)

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