trigonometry

Question: If $\tan x+\tan \left( \frac{\pi }{3}+x \right)+\tan \left( \frac{2\pi }{3}+x \right)=3,$ then

1) $\tan x=1$

2) $\tan 2x=1$

3) $\tan 3x=1$

4) None of these

Solution:

Explanation: No Solution

Trigonometric ratios of sum and difference of two and three

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