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" If "f(x)=|[cos(2x),cos(2x),sin(2x)],[-...

" If "f(x)=|[cos(2x),cos(2x),sin(2x)],[-cos x,cos x,-sin x],[sin x,sin x,cos x]|" then "

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Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x , 4 sin 2 x],[ sin ^2 x , cos ^2 x , 1+4 sin 2 x]| , the maximum value of f(x) is