If the maximum and the minimum values of `|[1+sin^(2)x,cos^(2)x,4sin2x],[sin^(2)x,1+cos^(2)x,4sin2x],[sin^(2)x,cos^(2)x,1+4sin2x]|`are M and m respectively,then (M)/(m)

f(x)=([1+sin^(2)x,cos^(2)x,4sin2xsin^(2)x,1+cos^(2)x,4sin2xsin^(2)x,cos^(2)x,1+4sin2x])

If /_\ = |[5+sin^(2)x,cos^(2)x,4sin2x],[sin^(2)x,5+cos^(2)x,4sin2x],[sin^(2)x,cos^(2)x,5+4sin2x]| =

If the maximum and minimum values of the determinant |(1 + sin^(2)x,cos^(2) x,sin 2x),(sin^(2) x,1 + cos^(2) x,sin 2x),(sin^(2) x,cos^(2) x,1 + sin 2x)| are alpha and beta , then

The maximum value of f(x)=|(sin^(2)x,1+cos^(2)x,cos2x),(1+sin^(2)x,cos^(2)x,cos2x),(sin^(2)x,cos^(2)x,sin2x)|,x inR is :

Find the maximum value of abs((sin^2x,1+cos^2x,cos2x),(1+sin^2x,cos^2x,cos2x),(sin^2x,cos^2x,sin2x))

If 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):}| then the maximum value of f(x) is

If f(x) = |(1+sin^(2)x,cos^(2)x,4 sin 2x),(sin^(2)x,1+cos^(2)x,4 sin 2x),(sin^(2)x,cos^(2)x,1+4 sin 2x)| What is the maximum value of f(x)?

If f(x)=|{:(5+sin^2x,cos^2x,4sin2x),(sin^2x,5+cos^2x,4sin2x),(sin^2x,cos^2x,5+4sin2x):}| then evaluate