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(i) Find maximum value of f(x)=|{:(1+...

(i) Find maximum value of
`f(x)=|{:(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(sin^(2)x,cos^(2)x,1+4sin2x):}|`.
(ii) Let A,B and C be the angles of triangle such that `Agt=Bgt=C.`
Find the minimum value of `Delta` where
`Delta=|{:(sin^(2)A,sinAcosA,cos^(2)A),(sin^(2) B,sinBcosB,cos^(2)B),(sin^(2)C,sinCcosC,cos^(2)C):}|`.

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