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已知tan(α+β)=2/5,tan(β-π/4)=1/4,试求cos(α-π/4)
人气:495 ℃ 时间:2020-06-03 17:32:27
解答
设tan(a+派/4)=xtan(a+b)=(x+1/4)/(1-x/4)2/5=(4x+1)/(4-x)8-2x=20x+522x=3x=3/22tan(a+派/4)=3/22tan(派/2-a-派/4)=22/3tan(派/4-a)=22/3tan(a-派/4)=22/3sec^2(a-派/4)=(9+22^2)/9=493/9cos^2(a-派/4)=9/493cos...
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