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

The general solution for cot(θ)=-sqrt(3),sin(θ)<0 is No Solution for θ\in\mathbb{R}

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cot(θ)=-sqrt(3),sin(θ)<0

cot (θ) = - 3, sin (θ) < 0

No Solution for θ \in R

Solution steps

cot (θ) = - 3, sin (θ) < 0

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

Solutions for the range

sin (θ) < 0

No Solution for θ \in R

tan (x) sin (x) + cos (x) = 1

6 sin (t) = 0

(500 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

sec (x) = \frac{sin ( x )}{cos ( x )}

- cos (20.02 t) = sin (20 t)

What is the general solution for cot(θ)=-sqrt(3),sin(θ)<0 ?
The general solution for cot(θ)=-sqrt(3),sin(θ)<0 is No Solution for θ\in\mathbb{R}