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数学
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f(x)=sinx+(根号3)cosx如何等于2cos(x-π/6)
人气:455 ℃ 时间:2019-11-02 16:10:15
解答
解
f(x)=sinx+√3cosx
=2(1/2sinx+√3/2cosx)
=2(cosxcosπ/6+sinxsinπ/6)
=2cos(x-π/6)谢谢=2(cosxcosπ/6+sinxsinπ/6)=2cos(x-π/6)这两步是怎么转换的?用公式cos(a-b)=cosacosb+sinasinb令x=a,b=π/6就可以得到了
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