Question

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

Answer 1

x= nπ/3

Explanation:

We are given that:
`√(3)*tan(3x) = 0`

Divide both sides by
`√(3)`

=>
`(√(3)*tan(3x))/(√(3)) = (0)/(√(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)