化简sin(kπ+π/3)+cos(kπ-π/6),k∈Z

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化简sin(kπ+π/3)+cos(kπ-π/6),k∈Z
x){3< 5A<] LS'QGGMR>j lH3*[C}#4HQ,c}#,l-H*,lb DLVG#Ɏ]O=mt>똦$.c_\g$

化简sin(kπ+π/3)+cos(kπ-π/6),k∈Z
化简sin(kπ+π/3)+cos(kπ-π/6),k∈Z

化简sin(kπ+π/3)+cos(kπ-π/6),k∈Z
sin(kπ+π/3)+cos(kπ-π/6)=1/2sinkπ+√3/2coskπ+√3/2coskπ+1/2sinkπ
=√3coskπ+sinkπ
=2sin(kπ+π/3)
= √3,(k为偶数时)或-√3,(k为奇数时)