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Find the extreme values of the follo...

Find the extreme values of the following function over R.
`(i) sin^(2) (60^(0) + x) + sin^(2) (60^(0) - x)`
`(ii) cos (x+ (Pi)/(3) ) + 2sqrt(2) sin (x+ (pi)/(3))-3`
`(iii) 3 sin^(2) x+ 5 cos^(2) x (iv) cos 2 x+ cos^(2) x`
`(v ) cos x cos ((2pi)/(3) + x) cos ((2pi)/(3)-x) `

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