若sin(π/6-α)=1/3,则cos(2π/3+2α)的值

发布时间：2021-03-16 09:09:01

若sin(π/6-α)=1/3,则cos(2π/3+2α)的值

网友回答

cos(2π/3+2α)
=-cos[π-(2π/3+2α)]
=-cos(π/3-2α)
=-cos[2(π/6-α)]
=-{1-2[sin(π/6-α)]^2}
=-(1-2/9)
=-7/9
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