What is the general solution for cot(θ)=-pi/6 ?

The general solution for cot(θ)=-pi/6 is θ=2.05314…+pin

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cot(θ)=-pi/6

cot (θ) = - \frac{π}{6}

θ = 2.05314 \dots + πn

Degrees

θ = 117.63649 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) = - \frac{π}{6}

Apply trig inverse properties

cot (θ) = - \frac{π}{6}

General solutions for

cot (θ) = - \frac{π}{6}

cot (x) = - a \Rightarrow x = arccot (- a) + πn

θ = arccot (- \frac{π}{6}) + πn

θ = arccot (- \frac{π}{6}) + πn

Show solutions in decimal form

θ = 2.05314 \dots + πn

3 tan^{2} (x) - 3 tan (x) = 0

2 sin^{2} (x) + 2 sin (x) + 1 = 0

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

sin (x) = 0.64

4 sin^{3} (x) - 8 sin^{2} (x) + sin (x) + 3 = 0

What is the general solution for cot(θ)=-pi/6 ?
The general solution for cot(θ)=-pi/6 is θ=2.05314…+pin