Решить уравнение: sin2x * cos2x = -1/4 . Created by pluton. algebra-ru

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pluton @pluton

July 2022 1 7 Report

Решить уравнение: sin2x * cos2x = -1/4

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dtnth

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$sin2x * cos2x = -\frac {1}{4};2sin2x * cos2x =-\frac{2}{4}; sin (2*2x) = -\frac{1}{2}; sin 4x=-0.5; 4x=(-1)^k*(-\frac{\pi}{6})+pi*k; 4x=(-1)^{k+1}*(\frac{\pi}{6})+\pi*k; x=(-1)^{k+1}*(\frac{\pi}{24})+\frac {\pi}{4}*k;$ k є Z

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