Question

6sin(x/2+П/4)+3√2=0 очень нужно

Answer 1

$6\sin{(\frac{x}2+\frac{ \pi }4)}+3 \sqrt{2} =0$
$\sin{(\frac{x}2+\frac{ \pi }4)}+\frac{\sqrt{2}}2 =0$
$\sin{(\frac{x}2+\frac{ \pi }4)}=-\frac{\sqrt{2}}2$
$\frac{x}2+\frac{ \pi }4=-\frac{ \pi }4+2 \pi k, k\in Z$
$\frac{x}2=-\frac{ \pi }2+2 \pi k, k\in Z$
$x=- \pi +4 \pi k, k\in Z$