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Show that: sqrt(2+sqrt(2+sqrt(2+2cos8the...

`Show that: sqrt(2+sqrt(2+sqrt(2+2cos8theta)))=2costheta,0 `

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Show that: sqrt(2+sqrt(2+sqrt(2+2cos8 theta )))=2costheta,0

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Show that sqrt(2+sqrt(2+sqrt(2+2cos 8theta)))=2cos theta

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Show that sqrt(2+sqrt(2 +2 cos 4 theta))= 2 cos theta

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Prove that: \ sqrt(2+sqrt(2+2cos4theta))=2costheta

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If 0 lt theta lt (pi)/8 , show that sqrt(2+sqrt(2+sqrt(2+2cos4theta))) = 2 cos (theta//2)