问题标题:
(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)=?
问题描述:
(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)=?
单汨源回答:
(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)
=(cosπ/12-sinπ/12)(sinπ/12+cosπ/12)
=cos²(π/12)-sin²(π/12)
=cos(π/6)
=(根号3)/2
田新华回答:
(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)怎么会变成(cosπ/12-sinπ/12)(sinπ/12+cosπ/12)
单汨源回答:
公式:sin(π/2-α)=cosα,cos(π/2-α)=sinα
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