Question

cosx-корень из 3 sinx=0

Answer 1

$\cos(x ) - \sqrt{3} \sin(x) = 0 \\ \frac{1}{2} \cos(x) - \frac{ \sqrt{3} }{2} \sin(x) = 0 \\ \cos( \frac{\pi}{3} ) \cos(x) - \sin( \frac{\pi}{3} ) \sin(x) = 0 \\ \cos( \frac{\pi}{3} + x) = 0 \\ x + \frac{\pi}{3} = \frac{\pi}{2} + \pi n \\ x = \frac{\pi}{6} + \pi n, \: n \in Z$