Sin x+cos x=0.2求tanx

Sin x+cos x=0.2求tanx

∵Sin x+cos x=0.2
∴（Sin x+cos x）^2=0.04
即1+2 Sin x+cos x=0.04
∴2 Sin x+cos x= -0.96
則（Sin x-cos x）^2=1.96
∵Sin x+cos x=0.2
∴Sin x > cos x
即Sin x-cos x>0
∴Sin x-cos x= 1.4
又∵Sin x+cos x=0.2
∴Sin x=0.8 cos x= -0.6
∴tanx=Sin x/cos x=0.8/ -0.6 = -4/3

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