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

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

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cot(θ)=-sqrt(3)

cot (θ) = - 3

θ = \frac{5 π}{6} + πn

Degrees

θ = 15 0^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) = - 3

General solutions for

cot (θ) = - 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

θ = \frac{5 π}{6} + πn

θ = \frac{5 π}{6} + πn

4 sin^{2} (x) - 2 = 0

sin (θ) = sin (2 θ)

tan (2 x) - 2 cos (x) = 0

5 sin^{2} (θ) = 2 sin (θ)

1 + cos (x) = 0

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