Find all solutions of the equation in the interval [0, 2π). cotθ + √3 = 0

Write your answer in radians in terms of π. If there is more than one solution, separate them with commas.

{5π/6, 11π/6}

Step-by-step explanation:

Since you have memorized the trig values of common angles, you know tan (π/6) = 1/√3, so cot (π/6) = √3.

The solution to this equation is ...

cot (θ) = - √3

so θ = - π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.