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A square lies above the X - axis and has...

A square lies above the X - axis and has one vertex at the origin . The side passing through the origin makes an angle `alpha(o lt alpha lt pi//4)` with the positive direction of the X - axis . Prove that the equation of its diagonals are ,
`y (cos alpha - sin alpha ) = x (sin alpha + cos alpha )` ,
and ` y(sin alpha + cos alpha ) + x ( cos alpha - sin alpha ) = a`
where , is the length of each side of the square

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