Solution in interval [0,2pie)

Question

 Find all solutions of the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list.)

7sin x/2 +7cosx =0

So for this question I got 0, 4pie/3 is that correct??

 This is my wave right? Based on what I found?

Answer 1

your graph appears to be correct, however your answer is a little off. Remember when you are trying to solve for the equation to be 0, you need to see where is crosses or touches the x-axis. And based of of your correct graph, it touches the x-axis at PI. Thus, your answer is PI. Moreover, to check I could plug PI into the equation and I would get 7-7=0. I hope this helps! Have a great day!