Explicație pas cu pas:
a)
[tex] \sin(x) = \frac{1}{2} = > [/tex]
[tex]x= \frac{\pi}{6} + 2\pi \: n \\ x = \frac{5\pi}{6} + 2\pi \: n[/tex]
=>
[tex]x = \frac{\pi}{6} ;x = \frac{5\pi}{6} ; \\ x = \frac{13\pi}{6} ;x = \frac{17\pi}{6} [/tex]
b)
[tex] \cos(2x) = - \frac{1}{2} [/tex]
[tex]2x = \frac{2\pi}{3} + 2\pi \: n = > x = \frac{\pi}{3} + \pi \: n \\ [/tex]
[tex]2x = \frac{4\pi}{3} + 2\pi \: n = > x = \frac{2\pi}{3} + \pi \: n \\ [/tex]
=>
[tex]x = \frac{\pi}{3} ;x = \frac{2\pi}{3} ;x = \frac{4\pi}{3} ; \\ x = \frac{5\pi}{3} ;x = \frac{7\pi}{3} ;x = \frac{8\pi}{3}[/tex]
