Answer:
x= nπ/3
Step-by-step explanation:
We are given that: [tex]\sqrt{3}*tan(3x) = 0[/tex]
Divide both sides by [tex]\sqrt{3}[/tex]
=> [tex]\frac{\sqrt{3}*tan(3x)}{\sqrt{3}} = \frac{0}{\sqrt{3}}[/tex]
=> tan(3x) = 0
we know that arctan(0) = nπ
Therefore,
3x = nπ
or
x= nπ/3 (where n belongs to positive and negative integers)
