Question

Даю 50 Баллов!!! помогите СРОЧНО

Answer 1

$1)\quad sin(arcsin0,3)=0,3\\\\2)\quad a)\; \; sinx=-\frac{1}{2}\; ;\\\\x=(-1)^{n}(-\frac{\pi}{6})+\pi n=(-1)^{n+1}\frac{\pi}{6}+\pi n,\; n\in Z\\\\b)\; \; sin\frac{1}{2}x=0,2\\\\\frac{1}{2}x=(-1)^{n}arcsin0,2+\pi n,\; n\in Z\\\\x=(-1)^{n}\cdot 2\cdot arcsin0,2+2\pi n,\; n\in Z\\\\c)\; \; 4sin(x+ \frac{\pi}{6} )=0\\\\sin(x+ \frac{\pi}{6})=0 \\\\x+ \frac{\pi}{6} =\pi n\; ,\; n\in Z\\\\x=-\frac{\pi}{6}+\pi n,\; n\in Z$

$3)\quad (1+sinx)(4-sinx)=0\\\\1+sinx=0\quad ili\quad 4-sinx=0\\\\sinx=-1\qquad ili\qquad sinx=4\; \; (net\; reshenij,\; t.k.\; 4\ \textgreater \ 1)\\\\x=-\frac{\pi}{2}+2\pi n\; n\in Z$