Question

2sin( pi/3 - x/4) = корень 3

 

Answer 1

$2sin( dfrac{ pi }{3} - dfrac{ x}{4}) = sqrt{3} \ \ sin( dfrac{ pi }{3} - dfrac{ x}{4}) = dfrac{ sqrt{3} }{2} \ \ sin( -dfrac{ pi }{3} + dfrac{ x}{4}) = -dfrac{ sqrt{3} }{2} \ \ dfrac{ x}{4} - dfrac{ pi }{3} = (-1)^{n+1} dfrac{ pi }{3} + pi n, n in Z \ \ dfrac{ x}{4} = (-1)^{n+1}dfrac{ pi }{3} + dfrac{ pi }{3} + pi n, n in Z \ \ boxed{x = (-1)^{n+1}dfrac{ 4pi }{3} + dfrac{ 4pi }{3} + 4 pi n, n in Z}$