Giúp em câu 159 với câu 160 với ạ
159.
Pt => [tex]cos2x+\sqrt{3}sin2x-(\sqrt{3}cosx-sinx)=0[/tex]
Chia cả 2 vế cho 2
=> [tex]\frac{1}{2}cos2x+\frac{\sqrt{3}}{2}sin2x-(\frac{\sqrt{3}}{2}cosx-\frac{1}{2}sinx)=0[/tex]
=> [tex]cos2x.cos60^{o}+sin60^{o}.sin2x-(cosx.cos30^{o}-sinx.sin30^{o})=0[/tex]
=> [tex]cos(2x-60^{o})-cos(x+30^{o})=0[/tex]
=> [tex]-2sin(\frac{3x-30^{o}}{2})sin(\frac{x-90^{o}}{2})=0[/tex]
=> ..............
160.
Pt => [tex]2cos^{2}x+\sqrt{3}sin2x-cosx+\sqrt{3}sinx-cos^{2}x-sin^{2}x=0[/tex]
=> [tex]cos^{2}x-sin^{2}x+\sqrt{3}sin2x-(cosx-\sqrt{3}sinx)=0[/tex]
=> [tex]cos2x+\sqrt{3}sin2x-(cosx-\sqrt{3}sinx)=0[/tex]
Tương tự bài trên.