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

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

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Knowledge Check

  • If y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4x+cos^4x+sin^2xcos^2x), x in(0,pi/2) , then

    A
    `-3/2leyle1/2`
    B
    `1leyle1/2`
    C
    `-5/3leyle1`
    D
    none of these

  • 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 ____________

    A
    2
    B
    1
    C
    3
    D
    0

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    If f(x)=[[1+sin^2x,cos^2x,4sin2x],[sin^2x,1+cos^2x,4sin2x],[sin^2x,cos^2x,1+4sin2x]] what is the maximum value of f(x).

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