Question

sinx-cosx=sin2x-1/2
срочно надо

Answer 1

sin(x)-cos(x)-2sin(x)*cos(x)+(1/2)=0
2sin(x)((1/2)*cos(x))-cos(x)+1/2=0
(2sin(x)+1)*(-cos(x)+1/2)=0
$left[begin{array}{ccc} 2sin(x)+1=0\ -cos(x)+1/2=0 end{array}$
Ответ: +-π/3 +2пк,
-5п/6  +2пк,
-п/6 +2пк,к∈Z