Реши тригонометрическое уравнение

\(\sin x \sin7x=\sin3x \sin5x\)

• \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{\pi}4+\dfrac{\pi n}8,\space n\in\mathbb{Z}}}}\)
• \(\textcolor{white}{\boxed{\textcolor{black}{-\dfrac{\pi}2+\dfrac{\pi n}4,\space n\in\mathbb{Z}}}}\)
• \(\textcolor{white}{\boxed{\textcolor{black}{\pi+\dfrac{\pi n}3,\space n\in\mathbb{Z}}}}\)
• \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{\pi n}4,\space n\in\mathbb{Z}}}}\)