What is the general solution for tan(θ)=-(sqrt(2))/3 ?

The general solution for tan(θ)=-(sqrt(2))/3 is θ=-0.44051…+pin

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tan(θ)=-(sqrt(2))/3

tan (θ) = - \frac{2}{3}

θ = - 0.44051 \dots + πn

Solution steps

tan (θ) = - \frac{2}{3}

Apply trig inverse properties

θ = arctan (- \frac{2}{3}) + πn

Show solutions in decimal form

θ = - 0.44051 \dots + πn

sin^{2} (θ) - sin (θ) - 2 = 0

tan (2 θ) = 3

sin^{2} (x) - 6 cos (x) - 6 = 0

(3 tan^{2} (x) - 1) = 0

8 sin (\frac{x}{2}) - 8 = 0

What is the general solution for tan(θ)=-(sqrt(2))/3 ?
The general solution for tan(θ)=-(sqrt(2))/3 is θ=-0.44051…+pin