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

\frac{sin ( x )}{1 - cos ( x )} = 0

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

sin (3 x + 87) - cos (7 x - 17) = 0

sin (20 x) = 0

sin (8 x) + sin (4 x) - 0.5 sin (6 x) = 0

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