Find exact values for all the solutions to the equation given

Question

Find exact values for all the solutions to the equation: tanθ = -√3/3 for -2pi ≤ θ ≤ 2pi

And, in general, we can find all solutions by adding integer multiples of: ___?

Answer 1

tanθ = -√3/3; θ = - π/6 + πn, n = 0, ±1, ±2, ±3, ... This is general solution

n = - 1, θ = -7π/6;

n = 0; θ = - π/6,

n = 1; θ = 5π/6;

n = 2; θ = 11π/6