Question

determine o conjunto soluçao, no intervalo 0 $\leq$ x $\leq$ 2$\pi$ da equaçao: 2sen²- 3sen(x) + 1=0

Answer 1

Supongo que la ecuación es

$\displaystyle 2\sin^2 x - 3\sin x +1= 0\\ \\ (2\sin x-1)(\sin x-1)=0\\ \\ \sin x =\frac{1}{2}\vee \sin x = 1\\ \\ x\in\left\{\frac{\pi}{6}; \frac{5\pi}{6}\right\}\vee x\in\left\{\frac{\pi}{2}\right\}\\ \\ \\ \boxed{x\in\left\{\frac{\pi}{6};\frac{\pi}{2}; \frac{5\pi}{6}\right\}}$