Question

срочно нужно sin(x/2 - П/3) = - 1​

Answer 1

$\sin\left(\dfrac{x}{2} - \dfrac{\pi }{3} \right) = - 1$

$\dfrac{x}{2} - \dfrac{\pi }{3} =-\dfrac{\pi}{2} +2\pi m$

$\dfrac{x}{2} = \dfrac{\pi }{3} -\dfrac{\pi}{2} +2\pi m$

$\dfrac{x}{2} =- \dfrac{\pi}{6} +2\pi m$

$x = -\dfrac{\pi}{3} +4\pi m,\ m\in\mathbb{Z}$