JEE maths #1

Geometry Level 4

If f(x)=2sin2θ+4cos(x+θ)sinxsinθ+cos(2x+2θ),f(x) = 2\sin^{2}\theta + 4\cos(x+\theta)\sin x \sin \theta + \cos(2x+2\theta), find the value of f2(x)+f2(π4x). f^{2}(x) + f^{2}\left(\frac \pi 4-x\right).


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