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Prove that: cos 10^0cos30^0cos 50^0cos 7...

Prove that: `cos 10^0cos30^0cos 50^0cos 70^0=3/(16)`

Text Solution

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`cos 10^(@)cos30^(@)cos50^(@)cos70^(@)`
`=cos 30^(@)cos 10^(@)cos(60^(@)-10^(@))cos(60^(@)+10^(@))`
`=(1)/(4)cos30^(@)cos(3xx10^(@))=(3)/(16)`
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