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已知sin(X+π/6)=2/3,求sin(X+19π/6)+sin²(π/3-X)的值?
人气:223 ℃ 时间:2020-05-27 12:50:20
解答
sin(X+19π/6)+sin²(π/3-X)=sin(X+3π+π/6)+sin²(π/2-π/6-X)=sin(X+π+π/6)+cos²(π/6+X)=-sin(X+π/6)+cos²(π/6+X)=-2/3+1-sin²(π/6+X)=1/3-(2/3)²=1/3-4/...
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