Реши тригонометрическое уравнение \dfrac{\tg 8x-\tg 7x}{1+\tg 8x\tg 7x}=\dfrac{1}{\sqrt3} \cfrac{\pi}{6}+\pi n,n\in\mathbb{Z} \cfrac{\pi}{6}+2\pi n,n\in\mathbb{Z} -\cfrac{\pi}{6}+\pi n,n\in\mathbb{Z} -\cfrac{\pi}{6}+2\pi n,n\in\mathbb{Z} \pm\cfrac{\pi}{6}+\pi n,n\in\mathbb{Z} \pm\cfrac{\pi}{6}+2\pi n,n\in\mathbb{Z}

Задание

Реши тригонометрическое уравнение

\(\dfrac{\tg 8x-\tg 7x}{1+\tg 8x\tg 7x}=\dfrac{1}{\sqrt3}\)

\(\cfrac{\pi}{6}+\pi n,n\in\mathbb{Z}\)
\(\cfrac{\pi}{6}+2\pi n,n\in\mathbb{Z}\)
\(-\cfrac{\pi}{6}+\pi n,n\in\mathbb{Z}\)
\(-\cfrac{\pi}{6}+2\pi n,n\in\mathbb{Z}\)
\(\pm\cfrac{\pi}{6}+\pi n,n\in\mathbb{Z}\)
\(\pm\cfrac{\pi}{6}+2\pi n,n\in\mathbb{Z}\)