Question

tan 30° answer √3 1/2 1 √3/3

Explanation:

Step1: Recall tan definition

$\tan\theta = \frac{\sin\theta}{\cos\theta}$

Step2: Substitute 30° values

$\sin30^\circ = \frac{1}{2}$, $\cos30^\circ = \frac{\sqrt{3}}{2}$

Step3: Compute the ratio

$\tan30^\circ = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}$

Answer:

$\frac{\sqrt{3}}{3}$ (the fourth option)