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230问答网 > 两角和与差的余弦公式，已知cos（x-π⼀6）=m,则cosx+cos(x-π⼀3)=？

两角和与差的余弦公式，已知cos（x-π⼀6）=m,则cosx+cos(x-π⼀3)=？

2025-02-12 08:18:12

推荐回答（2个）

回答1：

来个让人看的比较舒服的

回答2：

cosx+cos(x-π/3)=cosx+1/2cosx+√3/2sinx
=3/2cosx+√3/2sinx
=√3(√3/2cosx+1/2sinx)
=√3(cosπ/6cosx+sinπ/6sinx)
=√3cos（x-π/6）
=√3m

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