" tegrate "sin x*sin2x*sin3x+sec^(2)x*cos^(2)2x+sin^(4)x*cos^(4)x

If sin^(2)4x+cos^(2)x=2sin4x cos^(2)x, then

sin2x+2sin4x+sin6x= 4cos^(2)xsin4x

If sin x+sin^(2)x+sin^(3)x=1 then cos^(6)x-4cos^(4)x+8 cos^(2)x=

sin3x+sin2x-sinx=4sinxcos(x/2)cos(3x/2)

Prove that: sin2x+2sin4x+sin6x=4cos^(2)x sin4x

If sin^(4)2x+cos^(4)2x=sin2x*cos2x then x=

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)?

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