What is the general solution for cot(θ)=-sqrt(3),sin(2θ) ?

The general solution for cot(θ)=-sqrt(3),sin(2θ) is No Solution for θ\in\mathbb{R}

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cot(θ)=-sqrt(3),sin(2θ)

cot (θ) = - 3, sin (2 θ)

No Solution for θ \in R

Solution steps

cot (θ) = - 3, sin (2 θ)

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 (2 θ)

No Solution for θ \in R

3 sin (2 x) - 1 cos (x) = 0

sin (4 x - 3) = cos (5 x - 6)

6 sin (2 x - 3 0^{\circ}) + 2 = 0

sin (x) = sin (\frac{π}{10})

\frac{1}{2} = sin (x)

What is the general solution for cot(θ)=-sqrt(3),sin(2θ) ?
The general solution for cot(θ)=-sqrt(3),sin(2θ) is No Solution for θ\in\mathbb{R}