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y=3sin2x+(3√3)cos2x+1这个怎么化成y=sin()的形式?
题目详情
y=3sin2x+(3√3)cos2x+1这个怎么化成y=sin()的形式?
▼优质解答
答案和解析
y=3sin2x+(3√3)cos2x+1
=3(sin2x+√3cos2x)+1
=3[2(sin2x*1/2+cos2x*2/√3)]+1
=3[2sin(2x+π/3)]+1
=6sin(2x+π/3)+1
=3(sin2x+√3cos2x)+1
=3[2(sin2x*1/2+cos2x*2/√3)]+1
=3[2sin(2x+π/3)]+1
=6sin(2x+π/3)+1
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