Cos2x - Sin(x + 0,5π) = 2
Cos2x - Cosx = 2
2Cos²x - 1 - Cosx - 2 = 0
2Cos²x - Cosx - 3 = 0
Cosx = m , - 1 ≤ m ≤ 1
2m² - m - 3 = 0
D = (-1)² - 4 * 2 * (- 3) = 1 + 24 = 25 = 5²
0-neyd\\\\Cosx=-1\\\\x=\pi+2\pi n.n\in Z\\\\Otvet:\boxed{\pi+2\pi n,n\in Z}" alt="m_{1}=\frac{1-5}{4}=-1\\\\m_{2}=\frac{1+5}{4}=1,5>0-neyd\\\\Cosx=-1\\\\x=\pi+2\pi n.n\in Z\\\\Otvet:\boxed{\pi+2\pi n,n\in Z}" align="absmiddle" class="latex-formula">