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函数f(x)=sin(2x+π/6)+cos(2x+π/3)的最小正周期和最大值
人气:267 ℃ 时间:2019-08-18 15:44:33
解答
sin(2x+π/6)+cos(2x+π/3) =√2sin(2x+π/6+π/4) =√2sin(2x+5π/12) (公式AsinX+BcosX=√(A^2+B^2) sin(X+ARGTAN(B/A)?T=2π/2=π,2x+5π/12=π/2+2kπ时有最大值,x=1/24π+kπ,f(x)=√2
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