Question

Find all solutions of sqrt(3)tan(3x) = 0

Answer 1

Answer:

x=  nπ/3

Step-by-step explanation:

We are given that: $\sqrt{3}*tan(3x) = 0$

Divide both sides by $\sqrt{3}$

=> $\frac{\sqrt{3}*tan(3x)}{\sqrt{3}} = \frac{0}{\sqrt{3}}$

=> tan(3x) = 0

we know that arctan(0) = nπ

Therefore,

3x = nπ

or

x=  nπ/3 (where n belongs to positive and negative integers)