What is the solution for tan(x) = √3 between 0° and 360°?

The solutions for tan(x) = √3 between 0° and 360° are 60° and 240°.

To solve tan(x) = √3, we need to find the angles where the tangent of x equals √3. The tangent function, tan(x), is positive in the first and third quadrants. We know that tan(60°) = √3, so one solution is x = 60°.

Next, we need to find the angle in the third quadrant where tan(x) is also √3. The tangent function has a period of 180°, meaning it repeats every 180°. Therefore, we add 180° to our first solution to find the second solution: 60° + 180° = 240°. So, the second solution is x = 240°.

In summary, the angles between 0° and 360° that satisfy tan(x) = √3 are 60° and 240°.