Question

2Sin^2 x +(2 - √2)cosx + √2 - 2 = 0

Answer 1

$2(1-cos^{2}x)+(2-sqrt{2})(cosx-1)=0 \ -2(cos^{2}x-1)(cosx+1)+(2-sqrt{2})(cosx-1)=0 \ (cosx-1)(-2cosx-2+2-sqrt{2})=0 \ cosx=1 x=2pi n \ -2cosx=sqrt{2} cosx=-frac{sqrt{2}}{2} \ x=+-frac{3 pi}{4} +2pi k$

Где k принадлежит целым числам.