What is the general solution for tan(x)=-1/3 ?

The general solution for tan(x)=-1/3 is x=-0.32175…+pin

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tan(x)=-1/3

tan (x) = - \frac{1}{3}

x = - 0.32175 \dots + πn

Solution steps

tan (x) = - \frac{1}{3}

Apply trig inverse properties

x = arctan (- \frac{1}{3}) + πn

Show solutions in decimal form

x = - 0.32175 \dots + πn

6 sin^{2} (θ) - sin (θ) - 2 = 0

tan (x) sin (x) + sin (x) = 0

2 sin (\frac{x}{5}) + 3 = 0

sin (\frac{θ}{2}) = 1

x, z = arctan (\frac{y}{x})

What is the general solution for tan(x)=-1/3 ?
The general solution for tan(x)=-1/3 is x=-0.32175…+pin