Answer:
see explanation
Step-by-step explanation:
Given
3tan3Θ - [tex]\sqrt{3}[/tex] = 0 ( add [tex]\sqrt{3}[/tex] to both sides )
3tan3Θ = [tex]\sqrt{3}[/tex] ( divide both sides by 3 )
tan3Θ = [tex]\frac{\sqrt{3} }{3}[/tex], then
For 3 Θ we require to go round the unit circle 3 times, that is
0 ≤ 3Θ ≤ 1080
Since tan3Θ > 0 then Θ in first/ third quadrants
3Θ = 30, 210, 390, 570, 750, 930 ( divide by 3 )
Θ = 10, 70, 130, 190, 250, 310 for 0 ≤ Θ ≤ 360
