If x=\sin \theta+\cos \theta and y=\sin \theta \cdot \cos \theta, then what is the value of x^4-4 x^2 y-2 x^2+4 y^2+4 y+1 ?

UPSC NDA I 2011 Mathematics Paper

Question : 114 of 120

Marks: +1, -0

If x=sin‌θ+cos‌θ and y=sin‌θ⋅cos‌θ, then what is the value of x4−4x2y−2x2+4y2+4y+1?

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