[tex] \tan(5x - 2) = - \sqrt{3} [/tex]СРОЧНО 50БАЛЛОВ. Created by razumovaA. algebra-ru

Ответ: , где n - целые числа

tex]СРОЧНО 50БАЛЛОВ...

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[tex] \tan(5x - 2) = - \sqrt{3} [/tex]
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Artem112

Verified answer

$\mathrm{tg}(5x-2)=-\sqrt{3}\\5x-2=-\dfrac{\pi}{3} +\pi n\\5x=2-\dfrac{\pi}{3} +\pi n\\x=\dfrac{2}{5} -\dfrac{\pi}{15} +\dfrac{\pi n}{5}, \ n\in \mathbb{Z}$

Ответ: $\dfrac{2}{5} -\dfrac{\pi}{15} +\dfrac{\pi n}{5}$ , где n - целые числа

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