What is the general solution for cot(β)=(-sqrt(3))/3 ?

The general solution for cot(β)=(-sqrt(3))/3 is β=(2pi)/3+pin

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cot(β)=(-sqrt(3))/3

cot (β) = \frac{- 3}{3}

β = \frac{2 π}{3} + πn

Degrees

β = 12 0^{\circ} + 18 0^{\circ} n

Solution steps

cot (β) = \frac{- 3}{3}

Apply the fraction rule:

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

cot (β) = - \frac{3}{3}

General solutions for

cot (β) = - \frac{3}{3}

cot (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} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

β = \frac{2 π}{3} + πn

β = \frac{2 π}{3} + πn

What is the general solution for cot(β)=(-sqrt(3))/3 ?
The general solution for cot(β)=(-sqrt(3))/3 is β=(2pi)/3+pin