Question

$sin(2(x - 2)) = - \frac{1}{2}$
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Answer 1

Объяснение:

$\sin(4x - 4) = - \frac{1}{2}$

$4x - 4 = - \frac{\pi}{6} + 2\pi \: n \\ 4x = 4 - \frac{\pi}{6} + 2\pi \: n \\ x1 = 1 - \frac{\pi}{24} + \frac{\pi \: n}{2}$

$4x - 4 = - \frac{5\pi}{6} + 2\pi \: n \\ 4x = 4 - \frac{5\pi}{6} + 2\pi \: n \\ x2 = 1 - \frac{5\pi}{24} + \frac{\pi \: n}{2}$

n принадлежит Z.