已知sin(x+π/6)=1/4求sin(5π/6-x)+sin²(π/3-x)在线等🙏

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已知sin(x+π/6)=1/4求sin(5π/6-x)+sin²(π/3-x)在线等🙏已知sin(x+π/6)=1/4求sin(5π/6-x)+sin²(π/3-

已知sin(x+π/6)=1/4求sin(5π/6-x)+sin²(π/3-x)在线等🙏
已知sin(x+π/6)=1/4
求sin(5π/6-x)+sin²(π/3-x)
在线等🙏

已知sin(x+π/6)=1/4求sin(5π/6-x)+sin²(π/3-x)在线等🙏
sin(5π/6-x)+sin²(π/3-x)=sin(π-π/6-x)+(1-cos²(π/3-x))
=sin(π/6+x)+1-sin²(π/2-(π/3-x))=1/4+1-sin²(π/6+x)=5/4-(1/4)²=19/16