Question

resolva em R a equação √2= -2 senx

Answer 1

$\displaystyle \mathsf{-2 \sin x = \sqrt{2}} \\ \\ \\ \mathsf{\sin x = -\frac{\sqrt{2}}{2}} \\ \\ \\ \mathsf{x = \frac{-\frac{\sqrt{2}}{2}}{\sin}} \\ \\ \\ \mathsf{x = -\frac{\sqrt{2}}{2}} \cdot \frac{1}{\sin}} \\ \\ \\ \mathsf{x =-\frac{\sqrt{2}}{2}} \cdot \sin^{-1} } \\ \\ \mathsf{x = \arcsin \bigg( -\frac{\sqrt{2}}{2} \, \, \, \bigg)} \\ \\ \\ \mathsf{x = \frac{5 \pi}{4} \, \, \, ou \, \, \, \frac{7 \pi}{4}}$