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问题: 紧急 证明题

已知Cos(A-兀/6)+sinA =4/5 *根号下3,则Sin(A+(7兀/6))的值是?

解答:

已知cos(A-π/6)+sinA =4/5 *根号下3,则sin(A+(7π/6))的值是?

解 cos(A-π/6)+sinA=4√3/5
<===> cosAcos30°+sinAsin30°+sinA=4√3/5
<==> √3[cosA*(1/2)+sinA*(√3/2)]=4√3/5
<==> sin(A+30°)=4/5
<==> sin(A+210°)=-4/5