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

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

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cot(θ)=sqrt(3)

cot (θ) = 3

θ = \frac{π}{6} + πn

Degrees

θ = 3 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{π}{6} + πn

θ = \frac{π}{6} + πn

sin (x) = 0.7

sin (x) = \frac{- 3}{2}

sin (\frac{x}{2}) = 3 - sin (\frac{x}{2})

sec (θ) = 2

2 cos^{2} (θ) - 3 cos (θ) + 1 = 0

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