Question

How do you solve `tanx=sqrt3`?

Answer 1

`x=pi/3+kpi, k in ZZ`

Explanation:

The reference angle (in Quadrant I) for `tan(x)=sqrt(3)` is one of the standard angles:

Using the CAST designation for the 4 quadrants, we can see that the positive value for this reference angle will occur in Quadrants I and III;
so the possible solutions will repeat with a cycle of `pi`

Answer 2

`60°`

Explanation:

`tanx = sqrt 3`

`tanx= 1.732050808`

`x= 60°`