Question

Quais são as soluções para a equação sen(2x)-1/2=0,sendo 0

Answer 1

$\sin(2x)-\dfrac12=0\\\\\\\sin(2x)=\dfrac12\\\\2x=\dfrac{\pi}{6}+2n\pi\ ou\ \dfrac{5\pi}{6}+2n\pi,\ n\in \mathbb{Z}\\\\x=\dfrac{\pi}{12}+n\pi\ ou\ \dfrac{5\pi}{12}+n\pi,\ n\in \mathbb{Z}$