设sinA+cosA=1/5,0
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设sinA+cosA=1/5,0
设sinA+cosA=1/5,0
设sinA+cosA=1/5,0
sinA+cosA=1/5
sin²A+2sinAcosA+cos²A=1/25
sinAcosA=-12/25
所以sinA,cosA是一元二次方程
x²-(x/5)-12/25=0的两个根
25x²-5x-12=0
解得,x=(5±根号(25+1200))/50
x1=4/5,x2=-3/5
因为0
和上面的差不多。
sinA+cosA=1/5
sin²A+cos²A=1
解得:sinA=4/5或-3/5
因为00
即得sinA=4/5,cosA=-3/5
tanA=sinA/cosA=(4/5)/(-3/5)=-4/3
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