What is the general solution for cot(θ)=sqrt(3),0<= θ<2pi ?

The general solution for cot(θ)=sqrt(3),0<= θ<2pi is θ= pi/6 ,θ=(7pi)/6

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cot(θ)=sqrt(3),0<= θ<2pi

cot (θ) = 3, 0 \leq θ < 2 π

θ = \frac{π}{6}, θ = \frac{7 π}{6}

Degrees

θ = 3 0^{\circ}, θ = 21 0^{\circ}

Solution steps

cot (θ) = 3, 0 \leq θ < 2 π

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

Solutions for the range

0 \leq θ < 2 π

θ = \frac{π}{6}, θ = \frac{7 π}{6}

(2 cos (2 θ)) = 2

5 sin^{2} (x) = 9 tan (x)

cos (θ) = \frac{5}{4}

cos (x) = sin (2 x), 0 \leq x \leq 2 π

tan (θ) (sin (θ) - 1) = 0

What is the general solution for cot(θ)=sqrt(3),0<= θ<2pi ?
The general solution for cot(θ)=sqrt(3),0<= θ<2pi is θ= pi/6 ,θ=(7pi)/6