1+cos2x+2sin^2x=2如题求证

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1+cos2x+2sin^2x=2如题求证1+cos2x+2sin^2x=2如题求证1+cos2x+2sin^2x=2如题求证楼主,这题目有点错误吧,应该是1+cos2x+2(sinx)^2=2的.证

1+cos2x+2sin^2x=2如题求证
1+cos2x+2sin^2x=2
如题
求证

1+cos2x+2sin^2x=2如题求证
楼主,这题目有点错误吧,应该是1+cos2x+2(sinx)^2=2的.
证明很简单:
由公式:cos2x=(cosx)^2-(sinx)^2=1-(sinx)^2-(sinx)^2=1-2(sinx)^2带入可得1+1-2(sinx)^2-2(sinx)^2=2.