已知cos(α+π/4)=4/5,则tanα=
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已知cos(α+π/4)=4/5,则tanα=
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cos(α+π/4)=4/5
则sin(α+π/4)=3/5 或 sin(α+π/4)=-3/5
tan(α+π/4)=3/4 或 tan(α+π/4)=-3/4
(tanα+tanπ/4)/(1-tanαtanπ/4)=3/4
(tanα+1)/(1-tanα)=3/4
4tanα+4=3-3tanα
tanα=-1/7
或
(tanα+tanπ/4)/(1-tanαtanπ/4)=-3/4
(tanα+1)/(1-tanα)=-3/4
4tanα+4=3tanα-3
tanα=-7
则sin(α+π/4)=3/5 或 sin(α+π/4)=-3/5
tan(α+π/4)=3/4 或 tan(α+π/4)=-3/4
(tanα+tanπ/4)/(1-tanαtanπ/4)=3/4
(tanα+1)/(1-tanα)=3/4
4tanα+4=3-3tanα
tanα=-1/7
或
(tanα+tanπ/4)/(1-tanαtanπ/4)=-3/4
(tanα+1)/(1-tanα)=-3/4
4tanα+4=3tanα-3
tanα=-7
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