One side of a square makes an angle alph...

One side of a square makes an angle `alpha` with x axis and one vertex of the square is at origin. Prove that the equations of its diagonals are `x(sin alpha+ cos alpha) =y (cosalpha-sinalpha)` or `x(cos alpha-sin alpha) + y (sin alpha + cos alpha) = a`, where a is the length of the side of the square.

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