Question

Sin(x+П\3)=1|2 тригонометрия

Answer 1

$sin(x+\frac{\pi}{3})=\frac{1}{2}\\\\x+\frac{\pi}{3}=(-1)^{n}\cdot \frac{\pi}{6}+2\pi n\; ,\; n\in Z\\\\x=(-1)^{n}\cdot \frac{\pi}{6}-\frac{\pi}{3}+2\pi n\; ,\; n\in Z\\\\x=\frac{\pi}{6}\cdot ((-1)^{n}-2)+2\pi n\; n\in Z\\\\\\x=\left\{\begin{array}{l}-\frac{\pi}{6}+2\pi n\; ,\; esli\; \; n=2k\; ,\; k\in Z\; ,\\-\frac{\pi}{2}+2\pi n\; ,\; esli\; ,\; n=2k+1\; ,\; k\in Z\; .\end{array}\right$