What is the general solution for sqrt(3)cot(3θ+pi/3)+1=0 ?

The general solution for sqrt(3)cot(3θ+pi/3)+1=0 is θ=(pin)/3+pi/9

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sqrt(3)cot(3θ+pi/3)+1=0

3 cot (3 θ + \frac{π}{3}) + 1 = 0

θ = \frac{πn}{3} + \frac{π}{9}

Solution steps

3 cot (3 θ + \frac{π}{3}) + 1 = 0

Move

1

to the right side

3 cot (3 θ + \frac{π}{3}) = - 1

Divide both sides by

3

cot (3 θ + \frac{π}{3}) = - \frac{3}{3}

General solutions for

cot (3 θ + \frac{π}{3}) = - \frac{3}{3}

3 θ + \frac{π}{3} = \frac{2 π}{3} + πn

Solve

3 θ + \frac{π}{3} = \frac{2 π}{3} + πn : θ = \frac{πn}{3} + \frac{π}{9}

θ = \frac{πn}{3} + \frac{π}{9}

tan (θ) = \frac{4}{13}

2 cos^{2} (x) - cos (x) - 1 = 0, 0 \leq x \leq 2 π

sin (θ) = - \frac{6}{7}

a sin (θ) = b cos (θ)

- 9 tan^{2} (θ) + 12 tan (θ) - 4 = 0

What is the general solution for sqrt(3)cot(3θ+pi/3)+1=0 ?
The general solution for sqrt(3)cot(3θ+pi/3)+1=0 is θ=(pin)/3+pi/9