SiN x + cos x = 0.2 for TaNx

SiN x + cos x = 0.2 for TaNx

∵Sin x+cos x=0.2
∴(Sin x+cos x)^2=0.04
That is, 1 + 2 SiN x + cos x = 0.04
∴2 Sin x+cos x= -0.96
Then (sin x-cos x) ^ 2 = 1.96
∵ Sin x+cos x=0.2
∴ Sin x > cos x
That is sin x-cos x > 0
∴ Sin x-cos x= 1.4
And ∵ 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