What is the general solution for tan(θ)=-sqrt(6/3) ?

The general solution for tan(θ)=-sqrt(6/3) is θ=-0.95531…+pin

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tan(θ)=-sqrt(6/3)

tan (θ) = - \frac{6}{3}

θ = - 0.95531 \dots + πn

Degrees

θ = - 54.73561 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = - \frac{6}{3}

Divide the numbers:

\frac{6}{3} = 2

tan (θ) = - 2

Apply trig inverse properties

tan (θ) = - 2

General solutions for

tan (θ) = - 2

tan (x) = - a \Rightarrow x = arctan (- a) + πn

θ = arctan (- 2) + πn

θ = arctan (- 2) + πn

Show solutions in decimal form

θ = - 0.95531 \dots + πn

What is the general solution for tan(θ)=-sqrt(6/3) ?
The general solution for tan(θ)=-sqrt(6/3) is θ=-0.95531…+pin