Răspuns:
135°
Explicație pas cu pas:
[tex] {( \sin(x) - \cos(x) )}^{2} = 2 \\ \sin^{2} (x) - 2\sin(x)\cos(x) + \cos^{2} (x) = 2 \\ 1 - \sin(2x) = 2 \iff \sin(2x) = - 1[/tex]
[tex]x \in \Big(0 ; \pi\Big) \implies 2x = \frac{3\pi}{2} + 2\pi n \\ \implies \bf x = \frac{3\pi}{4} + \pi n \implies \bf x = 135 \degree[/tex]
