Question

3tan3x=3

solve please

Answer 1

Given the equation

`3 tan(3x)=3` ⇒ divide both sides by 3

`tan(3x)= (3)/(3)`

`tan(3x)=1` ⇒ then take arctan of 1

`3x= tan^(-1)(1)`

`3x=45`°

From here we can read the solution on tan(x) graph between a certain interval.

Say the interval is 0°<x<360°, the graph of tan(x) is given below, there are two solutions between this interval

3x = 45° and 225° ⇒ dividing each answer by 3
x = 15°, 75° ⇒ these are the answer to the equation for the equation between 0° and 360°