求证:2sin(π/4+a)sin(π/4-a)=cos2a
求证:2sin(π/4+a)sin(π/4-a)=cos2a
数学人气:525 ℃时间:2020-06-20 02:05:56
优质解答
证明:2sin(π/4+a)sin(π/4-a) =2(sinπ/4cosa+cosπ/4sina)(sinπ/4cosa-cosπ/4sina) =2*√2/2(cosa+sina)*√2/2*(cosa-sina) =cosa*cosa-sinasina =cos2a.
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