若cos(兀⼀6-a)=1⼀3,则cos(2兀⼀3+2a)等于

2025-05-15 14:09:56
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令(π/6)-a=b
2*b=(π/3)-2a=π-[(2π/3)+2a]
而cos(π-a)=-cosa
cos[(2π/3)+2a]=-cos(2*b)=1-2*cosb*cosb=7/9