Question

Use the unit circle to find the value of tan 30

Answer 1

Answer:

$\frac{\sqrt{3}}{3}$

Explanation:

$\sin(30^{\circ}) = \frac{1 }{2 }$

$\cos(30^{\circ}) = \frac{\sqrt{3} }{2 }$

$\tan(30^{\circ}) = \frac{\text{opposite} }{\text{adjacent} }$

$\tan(30^{\circ}) = \frac{\frac{1 }{2 }} {\frac{\sqrt{3} }{ 2}}$

$\tan(30^{\circ}) = \frac{1 }{2 } \times{\frac{2}{\sqrt{3} }}$

$\tan(30^{\circ}) = \frac{1}{\sqrt{3}}$

$\tan(30^{\circ}) = \frac{\sqrt{3}}{3}$