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If f(x)=2 sin^2theta+4 cos (x+theta) sin...

If `f(x)=2 sin^2theta+4 cos (x+theta) sin x * sin theta+cos (2x+2theta)` then value of `f^2(x) +f^2(pi/4-x)` is

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Knowledge Check

  • If x sin^(3) theta + y cos^(3) theta = sin theta cos theta and x sin theta = y cos theta , then the value of x^(2) + y^(2) is :

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    `- tan ((3theta)/2)`
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    `cot(theta/2)`
    C
    `tan ((3theta)/2)`
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    `cot ((2theta)/3)`

  • If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :

    A
    1
    B
    `sin theta - cos theta`
    C
    `sin theta + cos theta`
    D
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