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Solve:
tg(x+(pi)/(3))=sqrt3

Solve: tg(x+(π)/(3))=3\text{tg}(x+(\pi)/(3))=\sqrt{3}

Full solution

Q. Solve: tg(x+(π)/(3))=3\text{tg}(x+(\pi)/(3))=\sqrt{3}
  1. Set up the equation: Step 11: Set up the equation. tg(x+(π3))=3\text{tg}(x + (\frac{\pi}{3})) = \sqrt{3}
  2. Recognize standard angle: Step 22: Recognize the standard angle whose tangent is 3\sqrt{3}.\newlineThe tangent of π3\frac{\pi}{3} is 3\sqrt{3}.
  3. Set inside equal to π3\frac{\pi}{3}: Step 33: Set the inside of the tangent function equal to π3\frac{\pi}{3}.x+(π3)=π3x + \left(\frac{\pi}{3}\right) = \frac{\pi}{3}

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