`tantheta+tan(pi/3+theta)+tan((2pi)/(3)+theta)=3`

Explanation

To solve the equation \( \tan \theta + \tan\left(\frac{\pi}{3} + \theta\right) + \tan\left(\frac{2\pi}{3} + \theta\right) = 3 \), we will use the tangent addition formula and properties of tangent.

### Step-by-Step Solution:

1. **Write down the equation:**
\[ \tan \theta + \tan\left(\frac{\pi}{3} + \theta\right) + \tan\left(\frac{2\pi}{3} + \theta\right) = 3 \]
...