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(cosx-sinx)
(cosx + sinx)(cosx + sinx) / (cosx - sinx)(cosx + sinx)
= cos²x + 2sinx cosx + sin²x / cos²x - sin²x
= 1 - sin²x + 2sinx cosx + sin²x / 1 - sin²x - sin²x
= 1 + 2sinx cosx / 1 - 2sin²x
= 1 + sin2x / 1 - 2sin²x