Final answer:
The solutions to the equation tan(x) = √3 in the interval [0°, 360°) are 60° and 240°.
Step-by-step explanation:
The student is asking for all solutions of the equation tan(x) = √3 within the interval [0°, 360°). To find solutions to this equation, we need to identify angles where the tangent value is √3. The tangent function has the value of √3 at 60° and 240°. Since tangent is positive in the first and third quadrants, these are the angles we are looking for within the specified interval. Therefore, the solutions to the equation are 60° and 240°.