Question

I got pi over 9 for an answer but I don’t understand how to get the rest of them

Answer 1

Answer:

π/9, 4π/9, 7π/9    (0 ≤ O <  π)

Step-by-step explanation:

sin 3O - √3 cos 3O = 0

Adding √3 cos 3O  to both sides:

sin 3O =  √3 cos 3O    

Divide both sides by cos 3O:  

sin 3O / cos 3O =   √3

tan 3O =  √3

3O = π/3 ,  4π/3,  7π/3  

So O =  π/9, 4π/9, 7π/9.