Ответы на вопрос:
Cos^2 (pi/8 - x) - cos^2 (pi/8 + x) = (cos pi/8*cos x + sin pi/8*sin x)^2 - (cos pi/8*cos x - sin pi/8*sin x)^2 = = (cos^2 pi/8*cos^2 x + 2cos pi/8*cos x*sin pi/8*sin x + sin^2 pi/8*sin^2 x) - - (cos^2 pi/8*cos^2 x - 2cos pi/8*cos x*sin pi/8*sin x + sin^2 pi/8*sin^2 x) = = 4cos pi/8*cos x*sin pi/8*sin x = 2sin pi/8*cos pi/8 * 2sin x*cos x = sin pi/4 * sin 2x = v(2)/2 * sin 2x = 1/2 sin 2x = 1/v(2) = v(2)/2 2x1 = pi/4 + 2pi*n 2x2 = 3pi/4 + 2pi*n x1 = pi/8 + pi*n x2 = 3pi/8 + pi*n
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