Find all solutions of the equation in the interval [0, 2𝜋).

Question

9 tan²(x) + 9 tan(x) = 0

Answer 1

We can safely divide by 9, giving us tan² (x)+tan (x)=0, which we can then factor into tan (x) * ((tan (x)+1)=0.

So the solutions are the same as the solutions for tan (x)=0 and tan (x) =-1.