Question

Which of the following is a solution to tan(2x)=sqrt3
2pi/3
pi/3
pi/6
5pi/6

Answer 1

well let's solve for 2x:\[\tan (2x)=\sqrt{3}\]
what radian angle has a tangent of\[\sqrt{3}\]?
well its 60 degrees or pi/3. You should know that from the 30-60-90 triangle definition.



okay so 2x=pi/3

so what does x equal?
well it equals pi/3/2 or pi/6

THE ANSWER IS PI/6