sin²(α/2) - 1 = -cos²(α/2)
sin²α / 2 - 1 = sin²α / 2 - (sin²α + cos²α) = -sin²α / 2 - cos²α
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sin²(α/2) - 1 = -cos²(α/2)
sin²α / 2 - 1 = sin²α / 2 - (sin²α + cos²α) = -sin²α / 2 - cos²α