sina+cosa=1/5(0
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sina+cosa=1/5(0
sina+cosa=1/5(0
sina+cosa=1/5(0
sina+cosa=1/5
两边平方,且(sina)^2+(cosa)^2=1
所以1+2sinacosa=1/25
sin2a=-24/25
因为sina+cosa=1/5
根号2*sin(a+pi/4)=1/5
所以(sina+cosa)^2=(1/5)^2
sin^2 a+2sina*cosa+cos^2 a=1/25
1+2sina*cosa=1/25
sin2a=1/25-1=-24/25
由万能公式得
2*tana/(1+tan^2 a)=-24/25
12*tan^2 a+25*tana+12=0
(3tana+4)(4tana+3)=0
所以tana=-4/3或tana=-3/4
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