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

The general solution for tan(θ)=-(sqrt(2))/2 is θ=-0.61547…+pin

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tan(θ)=-(sqrt(2))/2

tan (θ) = - \frac{2}{2}

θ = - 0.61547 \dots + πn

Solution steps

tan (θ) = - \frac{2}{2}

Apply trig inverse properties

θ = arctan (- \frac{2}{2}) + πn

Show solutions in decimal form

θ = - 0.61547 \dots + πn

tan (θ) = - \frac{2}{3}

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

What is the general solution for tan(θ)=-(sqrt(2))/2 ?
The general solution for tan(θ)=-(sqrt(2))/2 is θ=-0.61547…+pin