Question

Resolva a inequação sin² x >= 1/4 com 0 <= x <= 2 Pi

Answer 1

$\sin^2 x\geq\dfrac14\\\\\\\sin x=y\\\\y^2\geq\dfrac14\\\\y\leq-\dfrac12\ \text{ou}\ y\geq\dfrac12\\\\\\\sin x\leq-\dfrac12\ \text{ou}\ \sin x\geq\dfrac12\\\\\\\dfrac{\pi}{6}\leq x\leq\dfrac{5\pi}{6}\ \text{ou}\ \dfrac{7\pi}{6}\leq x\leq \dfrac{11\pi}{6}$