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

Prove that: sqrt(2+sqrt(2+2cos4 theta))=2cos theta

If 0 lt theta lt pi/4 then show that sqrt(2+sqrt(2(1+cos 4theta)))=2 cos theta

sqrt(2+sqrt(2+2cos4 theta))

sqrt(2+sqrt(2+2cos4theta))= …………

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

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

Prove that sqrt ( 2 + sqrt (2 + sqrt (2 + 2 cos 8 theta))) = 2 cos theta, where theta in [ (-pi)/(8), (pi)/(8)]

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

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

sqrt(2+sqrt(2+2cos4theta))=