求证sin^4α-cos^4α=sin^2α-cos^2α和sin^4α+sin^2αcos^2α+cos^2α=1
人气:242 ℃ 时间:2020-04-14 11:34:42
解答
1.证明:sin^4α-cos^4α=(sin^2α-cos^2α)*(sin^2α+cos^2α)=(sin^2α-cos^2α)*1=sin^2α-cos^2α2.证明:sin^4α+sin^2αcos^2α+cos^2α=(sin^2a)^2+sin^2αcos^2α+cos^2α=sin^2a*(sin^2a+cos^2a)+cos^2a=...
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