Question

/$-\frac{11sin(x)}{3} = -\frac{11\frac{\sqrt{2} }{2} }{3}$
помогиииите пожалуйста

Answer 1

$-\dfrac{11\sin x}{3} = -\dfrac{11 \cdot \dfrac{\sqrt{2}}{2} }{3}$

$\sin x = \dfrac{\sqrt{2}}{2}$

$x = (-1)^{n} \arcsin \bigg(\dfrac{\sqrt{2}}{2} \bigg) + \pi n, \ n \in Z\\\\x = (-1)^{n} \cdot \dfrac{\pi}{4} + \pi n, \ n \in Z$

Ответ: $x = (-1)^{n} \cdot \dfrac{\pi}{4} + \pi n, \ n \in Z$