Prove that sqrt(2+sqrt(2+2cos4theta))=2c...

Prove that `sqrt(2+sqrt(2+2cos4theta))=2costheta`

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sqrt(2+sqrt(2+costheta))
`=sqrt(2+sqrt(2.2cos^2 2theta))
`sqrt(2+2cos2theta) `
`=sqrt(2.2cos^2theta)=2costheta`

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