Реши тригонометрическое уравнение \sin x+\sin2x+\cos x=1 \left[ \begin{aligned} &x=2\pi n,\space n\in\mathbb{Z}\\ &x=\dfrac{\pi}4+2\pi m,\space m\in\mathbb{Z} \end{aligned} \right. \left[ \begin{aligned} &x=2\pi n,\space n\in\mathbb{Z}\\ &x=\dfrac{\pi}2+2\pi m,\space m\in\mathbb{Z} \end{aligned} \right. \left[ \begin{aligned} &x=4\pi n,\space n\in\mathbb{Z}\\ &x=\dfrac{\pi}2+2\pi m,\space m\in\mathbb{Z} \end{aligned} \right. \left[ \begin{aligned} &x=2\pi n,\space n\in\mathbb{Z}\\ &x=-\dfrac{\pi}2+2\pi m,\space m\in\mathbb{Z} \end{aligned} \right.

Задание

Реши тригонометрическое уравнение

\(\sin x+\sin2x+\cos x=1\)

\(\left[\begin{aligned} &x=2\pi n,\space n\in\mathbb{Z}\\ &x=\dfrac{\pi}4+2\pi m,\space m\in\mathbb{Z}\end{aligned}\right.\)
\(\left[\begin{aligned} &x=2\pi n,\space n\in\mathbb{Z}\\ &x=\dfrac{\pi}2+2\pi m,\space m\in\mathbb{Z}\end{aligned}\right.\)
\(\left[\begin{aligned} &x=4\pi n,\space n\in\mathbb{Z}\\ &x=\dfrac{\pi}2+2\pi m,\space m\in\mathbb{Z}\end{aligned}\right.\)
\(\left[\begin{aligned} &x=2\pi n,\space n\in\mathbb{Z}\\ &x=-\dfrac{\pi}2+2\pi m,\space m\in\mathbb{Z}\end{aligned}\right.\)