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已知cos(α+π/4)=3/5,π/2≤α<3π/2,求sinα,cosα,tanα
人气:313 ℃ 时间:2020-09-03 14:50:34
解答
∵sinα=3/5,α∈(π/2,π) ∴cosα=-√(1-sin²α)=-4/5 故sin(2α)=2sinαcosα =2(3/5)(-4/5) =-24/25 cos(2α)=cos²α-sin²α =(-4/5)²-(3/5)² =7/25 tan(2α)=sin(2α)/cos(2α) =(-24/25)/(7/25) =-24/7������������������һ�¹�ϵ��0k�������2���Ͳ���д�˰ɣ���������
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