Question

2cos(x/5)-√3=0
как решить

Answer 1

$2cos\frac{x}{5} -\sqrt{3} =0$

$2cos\frac{x}{5} =\sqrt{3}$

$cos\frac{x}{5}=\frac{\sqrt{3} }{2}$

$\frac{x}{5} =\frac{\pi }{6} +2\pi n$  и  $\frac{x}{5} =-\frac{\pi }{6} +2\pi n$ , n∈Z

$x=\frac{5\pi }{6} +10\pi n$  и $\frac{x}{5} =-\frac{\pi }{6} +10\pi n$ ,n∈Z

Answer 2

2cos(x/5)-√3=0

2cos(x/5)=√3

cos(x/5)=√3/2

(x/5)=±π/6+2πn; n∈Z

х=±5π/6+10πn; n∈Z