怎样化简函数 cosπ/4cosπ/3-sinπ/4sinπ/3cosπ/4cosπ/3-sinπ/4sinπ/3

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怎样化简函数 cosπ/4cosπ/3-sinπ/4sinπ/3cosπ/4cosπ/3-sinπ/4sinπ/3
怎样化简函数 cosπ/4cosπ/3-sinπ/4sinπ/3
cosπ/4cosπ/3-sinπ/4sinπ/3

怎样化简函数 cosπ/4cosπ/3-sinπ/4sinπ/3cosπ/4cosπ/3-sinπ/4sinπ/3
cosπ/4cosπ/3-sinπ/4sinπ/3
=cos45°cos60°-sin45°sin60°
=(√2/2)*(1/2)- (√2/2)*(√3/2)
=(√2-√6)/4