Question

2 sin(pi/3 - x/4)=sqrt(3)

Answer 1

$2sin(frac{pi}{3}-frac{x}{4})=sqrt{3};\ sin(frac{pi}{3}-frac{x}{4})=frac{sqrt{3}}{2};\ frac{pi}{3}-frac{x}{4}=(-1)^k *frac{pi}{3}+ pi*k;\ -frac{x}{4}=((-1)^k-1)*frac{pi}{3}+ pi*k;\ x=((-1)^{k+1}+1)*frac{4pi}{3}+4pi*k;$

k є Z

ответ: $<var>((-1)^{k+1}+1)*frac{4pi}{3}+4pi*k;</var>$

k є Z