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函数y=sin(x+π/6)+cosx的最大值是多少?
人气:234 ℃ 时间:2019-09-24 00:18:49
解答
y=sin(x+π/6)+cosx
=sinxcosπ/6+cosxsinπ/6+cosx
=√3/2sinx+1/2cosx+cosx
=√3/2sinx+3/2cosx
=√3(1/2sinx+√3/2cosx)
=√3(sinxcosπ/3+cosxsinπ/3)
=√3sin(x+π/3)
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