Ответ:
2 * sin^2(3p/2 + x) = cos x
n - любое число, начиная с 1
Пошаговое объяснение:
a) sin^2(3p/2 + x) = cos^2 x
2 * cos^2 x = cos x
2 * cos^2 x - cos x = 0
cos x * (2*cos x - 1) = 0
1) cos x = 0 => x = 90 gradusov + n*p
2) 2 * cos x - 1 = 0
cos x = 1/2 => x = 60 gradusov + 2n*p
x = 300 + 2n*p
b) 90 gradusov = -3p/2
60 gradusov = p/3 = -5p/3
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Answers & Comments
Ответ:
2 * sin^2(3p/2 + x) = cos x
n - любое число, начиная с 1
Пошаговое объяснение:
a) sin^2(3p/2 + x) = cos^2 x
2 * cos^2 x = cos x
2 * cos^2 x - cos x = 0
cos x * (2*cos x - 1) = 0
1) cos x = 0 => x = 90 gradusov + n*p
2) 2 * cos x - 1 = 0
cos x = 1/2 => x = 60 gradusov + 2n*p
x = 300 + 2n*p
b) 90 gradusov = -3p/2
60 gradusov = p/3 = -5p/3