Question

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.

Answer 1

Answer:

  {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.