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

The general solution for tan(θ)=(-sqrt(3))/3 is θ=(5pi)/6+pin

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tan(θ)=(-sqrt(3))/3

tan (θ) = \frac{- 3}{3}

θ = \frac{5 π}{6} + πn

Degrees

θ = 15 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{- 3}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

tan (θ) = - \frac{3}{3}

General solutions for

tan (θ) = - \frac{3}{3}

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

θ = \frac{5 π}{6} + πn

θ = \frac{5 π}{6} + πn

5 cos^{3} (x) = 5 cos (x)

sin (2 x - \frac{π}{4}) = \frac{2}{2}

tan (2 x) = cot (x)

cos (x) = 0.7

2 - 2 cos^{2} (x) = sin (x) + 1

What is the general solution for tan(θ)=(-sqrt(3))/3 ?
The general solution for tan(θ)=(-sqrt(3))/3 is θ=(5pi)/6+pin