Question

solve root 3 tan theta=1

Answer 1

Answer on Question #57362 - Math – Trigonometry

Question

Solve root 3 $\tan \theta = 1$.

Solution

$$\sqrt{3} \tan \theta = 1,$$ $$\tan \theta = \frac{1}{\sqrt{3}},$$ $$\theta = \arctan \frac{1}{\sqrt{3}} + \pi n = \frac{\pi}{6} + n\pi = \left(n + \frac{1}{6}\right)\pi, \quad n \in \mathbb{Z} \text{ (that is, } n \text{ is integer)}.$$

Answer: $\theta = \frac{\pi}{6} + n\pi, n \in \mathbb{Z}$.

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