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sin2x - cos2x + 3sinx - cosx - 1=0
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2(\sqrt{3}sinx-cosx)= \sqrt{7}sin2x+3(cos^{4}x - sin^{4}x)
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\sin ^{2}x - \sqrt{3}cos^{2}x - \frac{1}{2}sin2x = 2(sinx - cosx) - \frac{\sqrt{3}}{2}sin2x