If `|sin^(2)x+10x^(2)|=|9-x^(2)|+2sin^(2)x+cos^(2)x`, then x lies in

The value of (cos^(4)x+cos^(2)x sin^(2) x + sin^(2)x)/(cos^(2)x+ sin^(2) x cos^(2) x + sin^(4)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)?

Solve: [[cos^(2)x, sin^(2)x],[sin^(2)x, cos^(2)x]]+[[sin^(2)x, cos^(2)x],[cos^(2)x, sin^(2)x]]

Solev (sin^(2) 2x+4 sin^(4) x-4 sin^(2) x cos^(2) x)/(4-sin^(2) 2x-4 sin^(2) x)=1/9 .

Solve (sin^(2) 2x+4 sin^(4) x-4 sin^(2) x cos^(2) x)/(4-sin^(2) 2x-4 sin^(2) x)=1/9 .

" If determinant "|[cos^(2)x,sin^(2)x,cos^(2)x],[sin^(2)x,cos^(2)x,sin^(2)x],[cos^(2)x,sin^(2)x,-cos^(2)x]|" is expanded as a function of "sin^(2)x" ,then the absolute value of constant term in expansion of function "

If determinant |[cos^(2)x,sin^(2)x,cos^(2)x],[sin^(2)x,cos^(2)x,sin^(2)x],[cos^(2)x,sin^(2)x,-cos^(2)x]| is expanded as a function of sin^(2)x ,then the absolute value of constant term in expansion of function is

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,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

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 :