Question

1- Resolva as seguintes equações no intervalo 0 <= x <= 2π

a) Senx = -1/2
b) COSX = √3/2

2- Resolva as seguintes inequações no intervalo 0 <= x <= 2π

a) Senx = -1/2
b) COSX = √3/2​

Answer 1

$\large\boxed{\begin{array}{l}\rm 1)\\\tt a)~\sf sen(x)=-\dfrac{1}{2}\\\sf x=\dfrac{7\pi}{6}~ou~~x=\dfrac{11\pi}{6}\\\\\sf S=\bigg\{\dfrac{7\pi}{6},\dfrac{11\pi}{6}\bigg\}\\\\\tt b)~\sf cos(x)=\dfrac{\sqrt{3}}{2}\\\\\sf x=\dfrac{\pi}{6}~ou~~x=\dfrac{11\pi}{6}\\\\\sf S=\bigg\{\dfrac{\pi}{6},\dfrac{11\pi}{6}\bigg\}\end{array}}$

$\boxed{\begin{array}{l}\rm nota: na~quest\tilde ao~2~n\tilde ao~temos\\\rm inequac_{\!\!,}\tilde oes~trigonom\acute etricas\end{array}}$