`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 follow these steps:

### Step 1: Use the tangent addition formula
We know that:
\[ \tan(a + b) = \frac{\tan a + \tan b}{1 - \tan a \tan b} \]
We will apply this formula to \( \tan\left(\frac{\pi}{3} + \theta\right) \) and \( \tan\left(\frac{2\pi}{3} + \theta\right) \).
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