Răspuns:
[tex] \frac{\pi}{6} [/tex]
Explicație pas cu pas:
[tex]\sin(2x + \frac{\pi}{3} )\times \cos(x) - \cos(2x + \frac{\pi}{3} ) \times \sin(x)= 1 \\ \sin(2x + \frac{\pi}{3} - x ) = 1 \\ \sin(x + \frac{\pi}{3}) = 1 \\ x + \frac{\pi}{3} = \frac{\pi}{2} + 2\pi \: n = >x + \frac{\pi}{3} = \frac{\pi}{2} \\ x = \frac{\pi}{6}[/tex]
